document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196171>Question 1196171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this system of three linear equations using elimination method<BR>\n" );
document.write( "3x+2y+z=1<BR>\n" );
document.write( "x+y+z=0<BR>\n" );
document.write( "5x+3y-2z=-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828889 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=828889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "using elimination method\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y%2Bz=1 ALIGN=MIDDLE  ALT=\"3x%2B2y%2Bz=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=0 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B3y-2z=-4 ALIGN=MIDDLE  ALT=\"5x%2B3y-2z=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >......,eq.3\r<BR>\n" );
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document.write( "start with\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y%2Bz=1 ALIGN=MIDDLE  ALT=\"3x%2B2y%2Bz=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=0 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2<BR>\n" );
document.write( "__________________________subtract  eq.2 from eq1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y%2Bz-x-y-z=1-0 ALIGN=MIDDLE  ALT=\"3x%2B2y%2Bz-x-y-z=1-0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eliminate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By=1 ALIGN=MIDDLE  ALT=\"2x%2By=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.a\r<BR>\n" );
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document.write( "now\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=0 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B3y-2z=-4 ALIGN=MIDDLE  ALT=\"5x%2B3y-2z=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >......,eq.3<BR>\n" );
document.write( "__________________________multiply   eq1 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y%2B2z=0 ALIGN=MIDDLE  ALT=\"2x%2B2y%2B2z=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B3y-2z=-4 ALIGN=MIDDLE  ALT=\"5x%2B3y-2z=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >......,eq.3<BR>\n" );
document.write( "__________________________add both\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y%2B2z%2B5x%2B3y-2z=0-4 ALIGN=MIDDLE  ALT=\"2x%2B2y%2B2z%2B5x%2B3y-2z=0-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eliminate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2z ALIGN=MIDDLE  ALT=\"2z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B5y=-4 ALIGN=MIDDLE  ALT=\"7x%2B5y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >..................eq.b\r<BR>\n" );
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document.write( "now\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By=1 ALIGN=MIDDLE  ALT=\"2x%2By=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B5y=-4 ALIGN=MIDDLE  ALT=\"7x%2B5y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >..................eq.b<BR>\n" );
document.write( "__________________________multiply   eq.a by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2B5y=5 ALIGN=MIDDLE  ALT=\"10x%2B5y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B5y=-4 ALIGN=MIDDLE  ALT=\"7x%2B5y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >..................eq.b<BR>\n" );
document.write( "__________________________subtract  eq.b from eq.a\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2B5y-7x-5y=5-%28-4%29 ALIGN=MIDDLE  ALT=\"10x%2B5y-7x-5y=5-%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=5%2B4 ALIGN=MIDDLE  ALT=\"3x=5%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=9 ALIGN=MIDDLE  ALT=\"3x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "go to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By=1 ALIGN=MIDDLE  ALT=\"2x%2By=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.a, plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%2By=1 ALIGN=MIDDLE  ALT=\"2%2A3%2By=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2By=1 ALIGN=MIDDLE  ALT=\"6%2By=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1-6 ALIGN=MIDDLE  ALT=\"y=1-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5 ALIGN=MIDDLE  ALT=\"y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=0 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2, plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5 ALIGN=MIDDLE  ALT=\"y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-5%2Bz=0 ALIGN=MIDDLE  ALT=\"3-5%2Bz=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2Bz=0 ALIGN=MIDDLE  ALT=\"-2%2Bz=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2 ALIGN=MIDDLE  ALT=\"z=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, solution to this system is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5 ALIGN=MIDDLE  ALT=\"y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2 ALIGN=MIDDLE  ALT=\"z=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );