document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121369>Question 1121369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the following system of linear equations for x,y and z.\r<BR>\n" );
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document.write( "x-2y+3z=-11<BR>\n" );
document.write( "2x-z=8<BR>\n" );
document.write( "3y+z=10<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737239 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=737239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y%2B3z=-11 ALIGN=MIDDLE  ALT=\"x-2y%2B3z=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-z=8 ALIGN=MIDDLE  ALT=\"2x-z=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2Bz=10 ALIGN=MIDDLE  ALT=\"3y%2Bz=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(3)\r<BR>\n" );
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document.write( "start with (2) and (3)\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-z=8 ALIGN=MIDDLE  ALT=\"2x-z=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2Bz=10 ALIGN=MIDDLE  ALT=\"3y%2Bz=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(3).............   add them<BR>\n" );
document.write( "-------------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-z%2B3y%2Bz=8%2B10 ALIGN=MIDDLE  ALT=\"2x-z%2B3y%2Bz=8%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y=18 ALIGN=MIDDLE  ALT=\"2x%2B3y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........(a)\r<BR>\n" );
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document.write( "go with (1) and (3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y%2B3z=-11 ALIGN=MIDDLE  ALT=\"x-2y%2B3z=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2Bz=10 ALIGN=MIDDLE  ALT=\"3y%2Bz=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(3)............both sides multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   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-2y%2B3z=-11 ALIGN=MIDDLE  ALT=\"x-2y%2B3z=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y%2B3z=30 ALIGN=MIDDLE  ALT=\"9y%2B3z=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(3)<BR>\n" );
document.write( "-------------------------------------------------.................subtract (3) from (1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y%2B3z-%289y%2B3z%29=-11-30 ALIGN=MIDDLE  ALT=\"x-2y%2B3z-%289y%2B3z%29=-11-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y%2B3z-9y-3z=-41 ALIGN=MIDDLE  ALT=\"x-2y%2B3z-9y-3z=-41\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-11y=-41 ALIGN=MIDDLE  ALT=\"x-11y=-41\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........(b)\r<BR>\n" );
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document.write( "go with (a) and (b)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y=18 ALIGN=MIDDLE  ALT=\"2x%2B3y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-11y=-41 ALIGN=MIDDLE  ALT=\"x-11y=-41\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........(b).......both sides multiply 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;\" ><BR>\n" );
document.write( "--------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y=18 ALIGN=MIDDLE  ALT=\"2x%2B3y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-22y=-82 ALIGN=MIDDLE  ALT=\"2x-22y=-82\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........(b)<BR>\n" );
document.write( "--------------------------------------------------subtract (b) from (a)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y+-%282x-22y%29=18-%28-82%29 ALIGN=MIDDLE  ALT=\"2x%2B3y+-%282x-22y%29=18-%28-82%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y+-2x%2B22y=18%2B82 ALIGN=MIDDLE  ALT=\"2x%2B3y+-2x%2B22y=18%2B82\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+%2B22y=100 ALIGN=MIDDLE  ALT=\"3y+%2B22y=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y=100 ALIGN=MIDDLE  ALT=\"25y=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=100%2F25 ALIGN=MIDDLE  ALT=\"y=100%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "go back to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-11y=-41 ALIGN=MIDDLE  ALT=\"x-11y=-41\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........(b), substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-11%2A4=-41 ALIGN=MIDDLE  ALT=\"x-11%2A4=-41\"   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-44=-41 ALIGN=MIDDLE  ALT=\"x-44=-41\"   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=44-41 ALIGN=MIDDLE  ALT=\"x=44-41\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "finally, go to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-z=8 ALIGN=MIDDLE  ALT=\"2x-z=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....(2), substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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-z=8 ALIGN=MIDDLE  ALT=\"2%2A3-z=8\"   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=6-8=z ALIGN=MIDDLE  ALT=\"6-8=z\"   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=highlight%28z=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28z=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%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=highlight%28y=4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=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=highlight%28z=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28z=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );