document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152808>Question 152808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system:\r<BR>\n" );
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document.write( "x+3y+5z=20<BR>\n" );
document.write( "y-4z=-16<BR>\n" );
document.write( "3x-2y+9z=36 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112899 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "solve the system:<BR>\n" );
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document.write( "x+3y+5z=20<BR>\n" );
document.write( "y-4z=(-16)<BR>\n" );
document.write( "3x-2y+9z=36<BR>\n" );
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document.write( "This is the way I usually solve these problems(pretty easy once you know how to do it) ( There is no fast way to solve these problems)<BR>\n" );
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document.write( "First, solve for a letter in all the equations( since we already have a 2 system/variable equation for equation 2, we don't have to solve for any letter in equation 2)( Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+4z+=+%28-16%29+ ALIGN=MIDDLE  ALT=\"+y+-+4z+=+%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > that means we will need to solve for \"x\" in our other equations)<BR>\n" );
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document.write( "We will rewrite the 3 equations so it makes more sense( the second equation has no \"x's\" in the equation so it has \"0x\")<BR>\n" );
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document.write( "x+3y+5z=20<BR>\n" );
document.write( "0x + y - 4z =( -16)<BR>\n" );
document.write( "3x-2y+9z=36 <BR>\n" );
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document.write( "We will switch the equations around<BR>\n" );
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document.write( "x+3y+5z=20<BR>\n" );
document.write( "3x-2y+9z=36 <BR>\n" );
document.write( "0x + y - 4z = (-16)<BR>\n" );
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document.write( "We will solve \"x\" in our first two equations(can't solve \"x\" in our third equation, since it is 0x)<BR>\n" );
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document.write( "First equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B3y%2B5z=20+ ALIGN=MIDDLE  ALT=\"+x%2B3y%2B5z=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move \"3y\" over to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B3y%2B5z=20+ ALIGN=MIDDLE  ALT=\"+x%2B3y%2B5z=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B3y+-+3y+%2B5z=20+-3y+ ALIGN=MIDDLE  ALT=\"+x%2B3y+-+3y+%2B5z=20+-3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B3y+-+3y+%2B5z=20+-3y+ ALIGN=MIDDLE  ALT=\"+x%2B3y+-+3y+%2B5z=20+-3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+5z=+20+-+3y+ ALIGN=MIDDLE  ALT=\"+x+%2B+5z=+20+-+3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "We will move \"5z\" to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+5z=+20+-+3y+ ALIGN=MIDDLE  ALT=\"+x+%2B+5z=+20+-+3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+5z+-+5z+=+20+-+3y+-+5z+ ALIGN=MIDDLE  ALT=\"+x+%2B+5z+-+5z+=+20+-+3y+-+5z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+5z+-+5z+=+20+-+3y+-+5z+ ALIGN=MIDDLE  ALT=\"+x+%2B+5z+-+5z+=+20+-+3y+-+5z+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+20+-+3y+-+5z+ ALIGN=MIDDLE  ALT=\"+x+=+20+-+3y+-+5z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will switch the letters around<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+20+-+3y+-+5z+ ALIGN=MIDDLE  ALT=\"+x+=+20+-+3y+-+5z+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-3y%29+-+5z+%2B+20+ ALIGN=MIDDLE  ALT=\"+x+=+%28-3y%29+-+5z+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is our First Answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-3y%29+-+5z+%2B+20+ ALIGN=MIDDLE  ALT=\"+%28-3y%29+-+5z+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will now solve \"x\" in our second equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x-2y%2B9z=36+ ALIGN=MIDDLE  ALT=\"+3x-2y%2B9z=36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move (-2y) to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x-2y%2B9z=36+ ALIGN=MIDDLE  ALT=\"+3x-2y%2B9z=36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x-2y+%2B+2y+%2B9z=36+%2B+2y+ ALIGN=MIDDLE  ALT=\"+3x-2y+%2B+2y+%2B9z=36+%2B+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x-2y+%2B+2y+%2B9z=36+%2B+2y+ ALIGN=MIDDLE  ALT=\"+3x-2y+%2B+2y+%2B9z=36+%2B+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+9z+=+36+%2B+2y+ ALIGN=MIDDLE  ALT=\"+3x+%2B+9z+=+36+%2B+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move \"9z\" to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+9z+=+36+%2B+2y+ ALIGN=MIDDLE  ALT=\"+3x+%2B+9z+=+36+%2B+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+9z+-+9z+=+36+%2B+2y+-+9z+ ALIGN=MIDDLE  ALT=\"+3x+%2B+9z+-+9z+=+36+%2B+2y+-+9z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+9z+-+9z+=+36+%2B+2y+-+9z+ ALIGN=MIDDLE  ALT=\"+3x+%2B+9z+-+9z+=+36+%2B+2y+-+9z+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+=+36+%2B+2y+-+9z+ ALIGN=MIDDLE  ALT=\"+3x+=+36+%2B+2y+-+9z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will switch the letters around<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+=+36+%2B+2y+-+9z+ ALIGN=MIDDLE  ALT=\"+3x+=+36+%2B+2y+-+9z+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+=+2y+-+9z+%2B+36+ ALIGN=MIDDLE  ALT=\"+3x+=+2y+-+9z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will now divide each side by \"3\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+=+2y+-+9z+%2B+36+ ALIGN=MIDDLE  ALT=\"+3x+=+2y+-+9z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%2F3+=+%282y+-+9z+%2B+36%29%2F3+ ALIGN=MIDDLE  ALT=\"+3x%2F3+=+%282y+-+9z+%2B+36%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%2F3+=+%282y+-+9z+%2B+36%29%2F3+ ALIGN=MIDDLE  ALT=\"+3x%2F3+=+%282y+-+9z+%2B+36%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cross+%283%29x%2Fcross%283%29+=+%282y+-+9z+%2B+36%29%2F3+ ALIGN=MIDDLE  ALT=\"+cross+%283%29x%2Fcross%283%29+=+%282y+-+9z+%2B+36%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%282y+-+9z+%2B+36%29%2F3+ ALIGN=MIDDLE  ALT=\"+x+=+%282y+-+9z+%2B+36%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Our second answer = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282y+-+9z+%2B+36%29%2F3+ ALIGN=MIDDLE  ALT=\"+%282y+-+9z+%2B+36%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can now solve to get a 2 system(variable) equation<BR>\n" );
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document.write( "We will put our two answers together in an equation, since \"x\" = both of the answers, our answers equal each other<BR>\n" );
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document.write( "First answer = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-3y%29+-+5z+%2B+20+ ALIGN=MIDDLE  ALT=\"+%28-3y%29+-+5z+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "Second answer = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282y+-+9z+%2B+36%29%2F3+ ALIGN=MIDDLE  ALT=\"+%282y+-+9z+%2B+36%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Our equation will equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-3y%29+-+5z+%2B+20+=+%282y+-+9z+%2B+36%29%2F3+ ALIGN=MIDDLE  ALT=\"+%28-3y%29+-+5z+%2B+20+=+%282y+-+9z+%2B+36%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-3y%29+-+5z+%2B+20+=+%282y+-+9z+%2B+36%29%2F3+ ALIGN=MIDDLE  ALT=\"+%28-3y%29+-+5z+%2B+20+=+%282y+-+9z+%2B+36%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28-3y%29+-+5z+%2B+20%29%2F1+=+%282y+-+9z+%2B+36%29%2F3+ ALIGN=MIDDLE  ALT=\"+%28%28-3y%29+-+5z+%2B+20%29%2F1+=+%282y+-+9z+%2B+36%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will use cross multiplication to get rid of the fractions<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28%28-3y%29+-+5z+%2B+20%29%2F1+=+%282y+-+9z+%2B+36%29%2F+highlight%283%29+ ALIGN=MIDDLE  ALT=\"+highlight%28%28-3y%29+-+5z+%2B+20%29%2F1+=+%282y+-+9z+%2B+36%29%2F+highlight%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9y%29+-+15z+%2B+60+=+2y+-+9z+%2B+36+ ALIGN=MIDDLE  ALT=\"+%28-9y%29+-+15z+%2B+60+=+2y+-+9z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move (-9y) to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9y%29+%2B+9y+-+15z+%2B+60+=+2y+%2B+9y+-+9z+%2B+36+ ALIGN=MIDDLE  ALT=\"+%28-9y%29+%2B+9y+-+15z+%2B+60+=+2y+%2B+9y+-+9z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9y%29+%2B+9y+-+15z+%2B+60+=+2y+%2B+9y+-+9z+%2B+36+ ALIGN=MIDDLE  ALT=\"+%28-9y%29+%2B+9y+-+15z+%2B+60+=+2y+%2B+9y+-+9z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-15z%29+%2B+60+=+11y+-+9z+%2B+36+ ALIGN=MIDDLE  ALT=\"+%28-15z%29+%2B+60+=+11y+-+9z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move the (-15z) to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-15z%29+%2B+60+=+11y+-+9z+%2B+36+ ALIGN=MIDDLE  ALT=\"+%28-15z%29+%2B+60+=+11y+-+9z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-15z%29+%2B+15z+%2B+60+=+11y+-+9z+%2B+15z+%2B+36+ ALIGN=MIDDLE  ALT=\"+%28-15z%29+%2B+15z+%2B+60+=+11y+-+9z+%2B+15z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-15z%29+%2B+15z+%2B+60+=+11y+-+9z+%2B+15z+%2B+36+ ALIGN=MIDDLE  ALT=\"+%28-15z%29+%2B+15z+%2B+60+=+11y+-+9z+%2B+15z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+=+11y+%2B+6z+%2B+36+ ALIGN=MIDDLE  ALT=\"+60+=+11y+%2B+6z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move the \"36\" to the left side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+=+11y+%2B+6z+%2B+36+ ALIGN=MIDDLE  ALT=\"+60+=+11y+%2B+6z+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+-+36+=+11y+%2B+6z+%2B+36+-+36+ ALIGN=MIDDLE  ALT=\"+60+-+36+=+11y+%2B+6z+%2B+36+-+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+-+36+=+11y+%2B+6z+%2B+36+-+36+ ALIGN=MIDDLE  ALT=\"+60+-+36+=+11y+%2B+6z+%2B+36+-+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+=+11y+%2B+6z+ ALIGN=MIDDLE  ALT=\"+24+=+11y+%2B+6z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will rearrange, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+=+11y+%2B+6z+ ALIGN=MIDDLE  ALT=\"+24+=+11y+%2B+6z+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+%2B+6z+=+24+ ALIGN=MIDDLE  ALT=\"+11y+%2B+6z+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Our second 2 system/variable equation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+%2B+6z+=+24+ ALIGN=MIDDLE  ALT=\"+11y+%2B+6z+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will put our two 2 system/variable equations side by side <BR>\n" );
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document.write( "First equation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4z=%28-16%29+ ALIGN=MIDDLE  ALT=\"+y-4z=%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Second equation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+%2B+6z+=+24+ ALIGN=MIDDLE  ALT=\"+11y+%2B+6z+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4z=%28-16%29+ ALIGN=MIDDLE  ALT=\"+y-4z=%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+%2B+6z+=+24+ ALIGN=MIDDLE  ALT=\"+11y+%2B+6z+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will now need to solve for a letter again( we will solve \"y\" since it is the easiest to solve)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "First equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4z=%28-16%29+ ALIGN=MIDDLE  ALT=\"+y-4z=%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will move (-4z) to the right side<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4z=%28-16%29+ ALIGN=MIDDLE  ALT=\"+y-4z=%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4z+%2B+4z+=%28-16%29+%2B+4z+ ALIGN=MIDDLE  ALT=\"+y-4z+%2B+4z+=%28-16%29+%2B+4z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4z+%2B+4z+=%28-16%29+%2B+4z+ ALIGN=MIDDLE  ALT=\"+y-4z+%2B+4z+=%28-16%29+%2B+4z+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-16%29+%2B+4z+ ALIGN=MIDDLE  ALT=\"+y+=+%28-16%29+%2B+4z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-16%29+%2B+4z+ ALIGN=MIDDLE  ALT=\"+y+=+%28-16%29+%2B+4z+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+4z+-+16+ ALIGN=MIDDLE  ALT=\"+y+=+4z+-+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( rearranging the numbers)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our first answer = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4z+-+16+ ALIGN=MIDDLE  ALT=\"+4z+-+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our second equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+%2B+6z+=+24+ ALIGN=MIDDLE  ALT=\"+11y+%2B+6z+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will move \"6z\" to the right side<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+%2B+6z+=+24+ ALIGN=MIDDLE  ALT=\"+11y+%2B+6z+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+%2B+6z+-+6z+=+24+-+6z+ ALIGN=MIDDLE  ALT=\"+11y+%2B+6z+-+6z+=+24+-+6z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+%2B+6z+-+6z+=+24+-+6z+ ALIGN=MIDDLE  ALT=\"+11y+%2B+6z+-+6z+=+24+-+6z+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+=+24+-+6z+ ALIGN=MIDDLE  ALT=\"+11y+=+24+-+6z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Rearranging <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+=+24+-+6z+ ALIGN=MIDDLE  ALT=\"+11y+=+24+-+6z+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+=++%28-6z%29+%2B+24+ ALIGN=MIDDLE  ALT=\"+11y+=++%28-6z%29+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will divide each side by \"11\"<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+=++%28-6z%29+%2B+24+ ALIGN=MIDDLE  ALT=\"+11y+=++%28-6z%29+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y%2F11+=++%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+11y%2F11+=++%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y%2F11+=++%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+11y%2F11+=++%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cross+%2811%29y%2Fcross+%2811%29+=++%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+cross+%2811%29y%2Fcross+%2811%29+=++%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cross+%2811%29y%2Fcross+%2811%29+=++%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+cross+%2811%29y%2Fcross+%2811%29+=++%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=++%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+y+=++%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our second answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We can now put both of our answers into an equation( since \"y\" equals both of our answers)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4z+-+16+ ALIGN=MIDDLE  ALT=\"+4z+-+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We can make our equation, it equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4z+-+16+=+%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+4z+-+16+=+%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4z+-+16+=+%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+4z+-+16+=+%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284z+-+16%29%2F1+=+%28%28-6z%29+%2B+24%29%2F11+ ALIGN=MIDDLE  ALT=\"+%284z+-+16%29%2F1+=+%28%28-6z%29+%2B+24%29%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will cross multiply to get rid of the fractions<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%284z+-+16%29%2F1+=+%28%28-6z%29+%2B+24%29%2Fhighlight%2811%29+ ALIGN=MIDDLE  ALT=\"+highlight%284z+-+16%29%2F1+=+%28%28-6z%29+%2B+24%29%2Fhighlight%2811%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "It becomes, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+44z+-+176+=+%28-6z%29+%2B+24+ ALIGN=MIDDLE  ALT=\"+44z+-+176+=+%28-6z%29+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will move (-6z) to the left side<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+44z+-+176+=+%28-6z%29+%2B+24+ ALIGN=MIDDLE  ALT=\"+44z+-+176+=+%28-6z%29+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+44z+%2B+6z+-+176+=+%28-6z%29+%2B+6z+%2B+24+ ALIGN=MIDDLE  ALT=\"+44z+%2B+6z+-+176+=+%28-6z%29+%2B+6z+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+44z+%2B+6z+-+176+=+%28-6z%29+%2B+6z+%2B+24+ ALIGN=MIDDLE  ALT=\"+44z+%2B+6z+-+176+=+%28-6z%29+%2B+6z+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50z+-+176+=+24+ ALIGN=MIDDLE  ALT=\"+50z+-+176+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will move (-176) to the right side<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50z+-+176+=+24+ ALIGN=MIDDLE  ALT=\"+50z+-+176+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50z+-+176+%2B+176+=+24+%2B+176+ ALIGN=MIDDLE  ALT=\"+50z+-+176+%2B+176+=+24+%2B+176+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50z+-+176+%2B+176+=+24+%2B+176+ ALIGN=MIDDLE  ALT=\"+50z+-+176+%2B+176+=+24+%2B+176+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50z+=+200+ ALIGN=MIDDLE  ALT=\"+50z+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will divide each side by \"50\"<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50z+=+200+ ALIGN=MIDDLE  ALT=\"+50z+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50z%2F50+=+200%2F50+ ALIGN=MIDDLE  ALT=\"+50z%2F50+=+200%2F50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50z%2F50+=+200%2F50+ ALIGN=MIDDLE  ALT=\"+50z%2F50+=+200%2F50+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cross%2850%29z%2Fcross%2850%29+=+4+ ALIGN=MIDDLE  ALT=\"+cross%2850%29z%2Fcross%2850%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cross%2850%29z%2Fcross%2850%29+=+4+ ALIGN=MIDDLE  ALT=\"+cross%2850%29z%2Fcross%2850%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+4+ ALIGN=MIDDLE  ALT=\"+z+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We found that \"z\" = 4, we can replace \"z\" with \"4\" in one of our 2 system/variable equations<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4z=%28-16%29+ ALIGN=MIDDLE  ALT=\"+y-4z=%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+%2B+6z+=+24+ ALIGN=MIDDLE  ALT=\"+11y+%2B+6z+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will use the first equation<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4z=%28-16%29+ ALIGN=MIDDLE  ALT=\"+y-4z=%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4%284%29=%28-16%29+ ALIGN=MIDDLE  ALT=\"+y-4%284%29=%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-4%284%29=%28-16%29+ ALIGN=MIDDLE  ALT=\"+y-4%284%29=%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+16+=+%28-16%29+ ALIGN=MIDDLE  ALT=\"+y+-+16+=+%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will move (-16) to the right<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+16+=+%28-16%29+ ALIGN=MIDDLE  ALT=\"+y+-+16+=+%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+16+%2B+16+=+%28-16%29+%2B+16+ ALIGN=MIDDLE  ALT=\"+y+-+16+%2B+16+=+%28-16%29+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+16+%2B+16+=+%28-16%29+%2B+16+ ALIGN=MIDDLE  ALT=\"+y+-+16+%2B+16+=+%28-16%29+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+0+ ALIGN=MIDDLE  ALT=\"+y+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We found that \"y\" = \"0\"<BR>\n" );
document.write( ".<BR>\n" );
document.write( "We can now find \"x\", we need to replace \"y\" and \"z\" in one of the three original equations<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "z = 4<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x+3y+5z=20<BR>\n" );
document.write( "y-4z=(-16)<BR>\n" );
document.write( "3x-2y+9z=36<BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will use the first equation, since it will be the easiest( we can't use the second equation)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B3y%2B5z=20+ ALIGN=MIDDLE  ALT=\"+x%2B3y%2B5z=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B3%280%29%2B5%284%29=20+ ALIGN=MIDDLE  ALT=\"+x%2B3%280%29%2B5%284%29=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B3%280%29%2B5%284%29=20+ ALIGN=MIDDLE  ALT=\"+x%2B3%280%29%2B5%284%29=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B0%2B20=20+ ALIGN=MIDDLE  ALT=\"+x%2B0%2B20=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B0%2B20=20+ ALIGN=MIDDLE  ALT=\"+x%2B0%2B20=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B20=20+ ALIGN=MIDDLE  ALT=\"+x%2B20=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We will move the \"20\" over to the right side<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B20=20+ ALIGN=MIDDLE  ALT=\"+x%2B20=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B20-20=20+-+20+ ALIGN=MIDDLE  ALT=\"+x%2B20-20=20+-+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=0+ ALIGN=MIDDLE  ALT=\"+x=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We found that \"x\" = \"0\", we now have all 3 variables, \"x\",\"y\", and \"z\"<BR>\n" );
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document.write( "x = 0<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "z = 4<BR>\n" );
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document.write( "We can check by replacing the letters with numbers in our third equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x-2y%2B9z=36+ ALIGN=MIDDLE  ALT=\"+3x-2y%2B9z=36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%280%29-+2%280%29+%2B+9%284%29+=+36+ ALIGN=MIDDLE  ALT=\"+3%280%29-+2%280%29+%2B+9%284%29+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%280%29-+2%280%29+%2B+9%284%29+=+36+ ALIGN=MIDDLE  ALT=\"+3%280%29-+2%280%29+%2B+9%284%29+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+-+0+%2B+36+=+36+ ALIGN=MIDDLE  ALT=\"+0+-+0+%2B+36+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+-+0+%2B+36+=+36+ ALIGN=MIDDLE  ALT=\"+0+-+0+%2B+36+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+36+ ALIGN=MIDDLE  ALT=\"+36+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( True)<BR>\n" );
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document.write( "x = 0<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "z = 4<BR>\n" );
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document.write( "The solution set = (x,y,z), our solution set = (0,0,4)<BR>\n" );
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document.write( "Hope I helped, Levi  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );