document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169669>Question 169669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am a math tutor on this site, can someone please help with a method of systems of equations?\r<BR>\n" );
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document.write( "I need to know the name of this method of solving\r<BR>\n" );
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document.write( "Ex.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+4y+=+20+ ALIGN=MIDDLE  ALT=\"+x+%2B+4y+=+20+\"   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=+2x+-+y+=+40+ ALIGN=MIDDLE  ALT=\"+2x+-+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "First solve for a variable, we will solve for \"x\" in each equation<BR>\n" );
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document.write( "First equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+4y+=+20+ ALIGN=MIDDLE  ALT=\"+x+%2B+4y+=+20+\"   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+4y+=+20+ ALIGN=MIDDLE  ALT=\"+x+%2B+4y+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, move \"4y\" 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+4y+=+20+ ALIGN=MIDDLE  ALT=\"+x+%2B+4y+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+4y+-+4y+=+20+-+4y+ ALIGN=MIDDLE  ALT=\"+x+%2B+4y+-+4y+=+20+-+4y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+20+-+4y+ ALIGN=MIDDLE  ALT=\"+x+=+20+-+4y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-4y%29+%2B+20+ ALIGN=MIDDLE  ALT=\"+x+=+%28-4y%29+%2B+20+\"   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=%28-4y%29+%2B+20+ ALIGN=MIDDLE  ALT=\"%28-4y%29+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is our first answer, keeping that answer in mind we solve for \"x\" in the other equation<BR>\n" );
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document.write( "Second equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+y+=+40+ ALIGN=MIDDLE  ALT=\"+2x+-+y+=+40+\"   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=+2x+-+y+=+40+ ALIGN=MIDDLE  ALT=\"+2x+-+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, move (-y) to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+y+=+40+ ALIGN=MIDDLE  ALT=\"+2x+-+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+y+%2B+y+=+40+%2B+y+ ALIGN=MIDDLE  ALT=\"+2x+-+y+%2B+y+=+40+%2B+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+40+%2B+y+ ALIGN=MIDDLE  ALT=\"+2x+=+40+%2B+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+y+%2B+40+ ALIGN=MIDDLE  ALT=\"+2x+=+y+%2B+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now divide each side by \"2\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+y+%2B+40+ ALIGN=MIDDLE  ALT=\"+2x+=+y+%2B+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%2F2+=+%28y+%2B+40%29%2F2+ ALIGN=MIDDLE  ALT=\"+2x%2F2+=+%28y+%2B+40%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28y+%2B+40%29%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+%28y+%2B+40%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Second answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y+%2B+40%29%2F2+ ALIGN=MIDDLE  ALT=\"+%28y+%2B+40%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then I would say, since these two answers equal \"x\" both answers will equal each other, then I would put them in an equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-4y%29+%2B+20+=+%28y+%2B+40%29%2F2+ ALIGN=MIDDLE  ALT=\"+%28-4y%29+%2B+20+=+%28y+%2B+40%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then I would solve for \"y\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28-4y%29+%2B+20%29%2F1+=+%28y+%2B+40%29%2F2+ ALIGN=MIDDLE  ALT=\"+%28%28-4y%29+%2B+20%29%2F1+=+%28y+%2B+40%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then I would show the student the cross multiplication<BR>\n" );
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document.write( "We come up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8y+%2B+40+=+y+%2B+40+ ALIGN=MIDDLE  ALT=\"+-8y+%2B+40+=+y+%2B+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then just solve, in which we would get <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" );
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document.write( "Then I would replace \"y\", and go through the math, and find that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+20+ ALIGN=MIDDLE  ALT=\"+x+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "What would you call this method ( when you solve for a variable in both equations, and put your answers together in an equation and solve )<BR>\n" );
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document.write( "Solution set = (20,0)<BR>\n" );
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document.write( "Please don't answer if you don't know the name of this method<BR>\n" );
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document.write( "Thanks ahead of time, Electrified_Levi<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125054 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=125054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think \"substitution\" is the proper label for the method.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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