document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84180>Question 84180</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Solve <BR>\n" );
document.write( "      x + y - z = 0 <BR>\n" );
document.write( "    2x - y + z = 6  <BR>\n" );
document.write( "    -x + y + z = 8 <BR>\n" );
document.write( "Show your answers as (x,y,z) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60617 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=60617\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the given system and label the equations\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+-+z+=+0 ALIGN=MIDDLE  ALT=\"x+%2B+y+-+z+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+y+%2B+z+=+6 ALIGN=MIDDLE  ALT=\"2x+-+y+%2B+z+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x+%2B+y+%2B+z+=+8 ALIGN=MIDDLE  ALT=\"-x+%2B+y+%2B+z+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=6 ALIGN=MIDDLE  ALT=\"3x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add equations 1 and 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3\r<BR>\n" );
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document.write( "Now lets use this info to find another variable\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A2-y%2Bz=6 ALIGN=MIDDLE  ALT=\"2%2A2-y%2Bz=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=2 into equation 2 to get Equation 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-y%2Bz=6 ALIGN=MIDDLE  ALT=\"4-y%2Bz=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2By%2Bz=8 ALIGN=MIDDLE  ALT=\"-2%2By%2Bz=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=2 into equation 3 to get Equation 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28-2%2By%2Bz%29=-8 ALIGN=MIDDLE  ALT=\"-%28-2%2By%2Bz%29=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply equation 3 by -1\r<BR>\n" );
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document.write( "So now we have the equations\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-y%2Bz=6 ALIGN=MIDDLE  ALT=\"4-y%2Bz=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-y-z=-8 ALIGN=MIDDLE  ALT=\"2-y-z=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-2y=-2 ALIGN=MIDDLE  ALT=\"6-2y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add equations 4 and 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y=-8 ALIGN=MIDDLE  ALT=\"-2y=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4 ALIGN=MIDDLE  ALT=\"y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -2\r<BR>\n" );
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document.write( "Now lets use this to find z\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B4-z=0 ALIGN=MIDDLE  ALT=\"2%2B4-z=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=2 and y=4 into Equation 1 (at this point any equation will do)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-z=0 ALIGN=MIDDLE  ALT=\"6-z=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-z=-6 ALIGN=MIDDLE  ALT=\"-z=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=6 ALIGN=MIDDLE  ALT=\"z=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So our solution is \r<BR>\n" );
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document.write( "(2,4,6) </SPAN>\n" );
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