document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1090280>Question 1090280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x-y+3z=0<BR>\n" );
document.write( "x+2y-z=5<BR>\n" );
document.write( "  2y+z=1<BR>\n" );
document.write( "use gaussian reduction method matrix to solve the following linear system </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704723 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=704723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y%2B3z=0 ALIGN=MIDDLE  ALT=\"2x-y%2B3z=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y-z=5 ALIGN=MIDDLE  ALT=\"x%2B2y-z=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y%2Bz=1 ALIGN=MIDDLE  ALT=\"+2y%2Bz=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rewrite the system in matrix form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C2%2C-1%2C3%2C0%2C1%2C2%2C-1%2C5%2C0%2C2%2C1%2C1%29 ALIGN=MIDDLE  ALT=\"matrix%283%2C4%2C2%2C-1%2C3%2C0%2C1%2C2%2C-1%2C5%2C0%2C2%2C1%2C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divide the 1 row by 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C1%2C-1%2F2%2C3%2F2%2C0%2C1%2C2%2C-1%2C5%2C0%2C2%2C1%2C1%29 ALIGN=MIDDLE  ALT=\"matrix%283%2C4%2C1%2C-1%2F2%2C3%2F2%2C0%2C1%2C2%2C-1%2C5%2C0%2C2%2C1%2C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add (-1 * row1) to row2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C1%2C+-1%2F2%2C+3%2F2%2C+0%2C0%2C5%2F2%2C-5%2F2%2C5%2C0%2C2%2C1%2C1%29 ALIGN=MIDDLE  ALT=\"matrix%283%2C4%2C1%2C+-1%2F2%2C+3%2F2%2C+0%2C0%2C5%2F2%2C-5%2F2%2C5%2C0%2C2%2C1%2C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide row2 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   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=matrix%283%2C4%2C1%2C+-1%2F2%2C+3%2F2%2C+0%2C0%2C1%2C-1%2C2%2C0%2C2%2C1%2C1+%29 ALIGN=MIDDLE  ALT=\"matrix%283%2C4%2C1%2C+-1%2F2%2C+3%2F2%2C+0%2C0%2C1%2C-1%2C2%2C0%2C2%2C1%2C1+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add (-2 * row2) to row3:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C1%2C+-1%2F2%2C+3%2F2%2C+0%2C0%2C1%2C-1%2C2%2C0%2C0%2C3%2C-3%29 ALIGN=MIDDLE  ALT=\"matrix%283%2C4%2C1%2C+-1%2F2%2C+3%2F2%2C+0%2C0%2C1%2C-1%2C2%2C0%2C0%2C3%2C-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide row3 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;\" >:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C1%2C+-1%2F2%2C+3%2F2%2C+0%2C0%2C1%2C-1%2C2%2C0%2C0%2C1%2C-1%29 ALIGN=MIDDLE  ALT=\"matrix%283%2C4%2C1%2C+-1%2F2%2C+3%2F2%2C+0%2C0%2C1%2C-1%2C2%2C0%2C0%2C1%2C-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add (1 * row3) to row2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C1%2C+%09-1%2F2%2C+%093%2F2%2C+%090%2C%0D%0A0%2C+%091%2C+%090%2C+%091%2C%0D%0A0%2C+%090%2C+%091+%2C%09-1+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2+ ALIGN=MIDDLE  ALT=\"-3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >* row3) to row1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C1%2C+%09-1%2F2%2C+%090%2C+%093%2F2%2C%0D%0A0%2C+%091+%2C%090%2C+%091%2C%0D%0A0%2C+%090%2C+%091%2C+%09-1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > * row2) to row1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C1%2C+%090%2C+%090%2C+%092%2C%0D%0A0%2C+%091+%2C%090%2C+%091%2C%0D%0A0+%2C%090%2C+%091%2C+%09-1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+1 ALIGN=MIDDLE  ALT=\"y=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+-1 ALIGN=MIDDLE  ALT=\"z=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );