document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107919>Question 107919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -x+y+3z=6<BR>\n" );
document.write( "x+y+2z=7<BR>\n" );
document.write( "2x+3y+z=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78675 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=78675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the given system\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-x%2By%2B3z=6%2Cx%2By%2B2z=7%2C2x%2B3y%2Bz=4%29 ALIGN=MIDDLE  ALT=\"system%28-x%2By%2B3z=6%2Cx%2By%2B2z=7%2C2x%2B3y%2Bz=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Write all of the coefficients and the right side constants in an augmented matrix\r<BR>\n" );
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document.write( "Multiply Row 1 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F1 ALIGN=MIDDLE  ALT=\"-1%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to make the pivot 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C1%2C1%2C2%2C7%2C2%2C3%2C1%2C4%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C1%2C1%2C2%2C7%2C2%2C3%2C1%2C4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  -1*Row 1 to Row 2 to get the new Row 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C2%2C5%2C13%2C2%2C3%2C1%2C4%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C2%2C5%2C13%2C2%2C3%2C1%2C4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  -2*Row 1 to Row 3 to get the new Row 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C2%2C5%2C13%2C0%2C5%2C7%2C16%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C2%2C5%2C13%2C0%2C5%2C7%2C16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply Row 2 by <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;\" > to make the pivot 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C1%2C5%2F2%2C13%2F2%2C0%2C5%2C7%2C16%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C1%2C5%2F2%2C13%2F2%2C0%2C5%2C7%2C16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  -5*Row 2 to Row 3 to get the new Row 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C1%2C5%2F2%2C13%2F2%2C0%2C0%2C-11%2F2%2C-33%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply Row 3 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F11 ALIGN=MIDDLE  ALT=\"-2%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > to make the pivot 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C1%2C5%2F2%2C13%2F2%2C0%2C0%2C1%2C3%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C1%2C5%2F2%2C13%2F2%2C0%2C0%2C1%2C3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  -5/2*Row 3 to Row 2 to get the new Row 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C1%2C0%2C-1%2C0%2C0%2C1%2C3%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C-1%2C-3%2C-6%2C0%2C1%2C0%2C-1%2C0%2C0%2C1%2C3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  3*Row 3 to Row 1 to get the new Row 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C-1%2C0%2C3%2C0%2C1%2C0%2C-1%2C0%2C0%2C1%2C3%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C-1%2C0%2C3%2C0%2C1%2C0%2C-1%2C0%2C0%2C1%2C3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  1*Row 2 to Row 1 to get the new Row 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C0%2C0%2C2%2C0%2C1%2C0%2C-1%2C0%2C0%2C1%2C3%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C0%2C0%2C2%2C0%2C1%2C0%2C-1%2C0%2C0%2C1%2C3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The matrix is now in <font size=4><b>reduced row echelon form</b></font>\r<BR>\n" );
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document.write( "If you need more help with row reduction, check out the <a  rel=nofollow HREF=\"http://www.math.odu.edu/~bogacki/lat/\">Linear Algebra Toolkit</a><BR>\n" );
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