document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176533>Question 176533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help, if I use the gauss-jordan elimination  to solve the equation, how do i find the answer: 3x+5y=7  6x-y=-8? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131626 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=131626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "First, extract the coefficients and the right hand constants to form the matrix:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2C3%2C5%2C7%2C6%2C-1%2C-8%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C3%2C5%2C7%2C6%2C-1%2C-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   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%282%2C3%2C1%2C5%2F3%2C7%2F3%2C6%2C-1%2C-8%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C1%2C5%2F3%2C7%2F3%2C6%2C-1%2C-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  -6*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%282%2C3%2C1%2C5%2F3%2C7%2F3%2C0%2C-11%2C-22%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C1%2C5%2F3%2C7%2F3%2C0%2C-11%2C-22%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%2F11 ALIGN=MIDDLE  ALT=\"-1%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%282%2C3%2C1%2C5%2F3%2C7%2F3%2C0%2C1%2C2%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C1%2C5%2F3%2C7%2F3%2C0%2C1%2C2%29%29\"   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=-5%2F3 ALIGN=MIDDLE  ALT=\"-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*Row 2 to Row 1 to replace Row 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2C1%2C0%2C-1%2C0%2C1%2C2%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C1%2C0%2C-1%2C0%2C1%2C2%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>\r<BR>\n" );
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document.write( "Since the right hand column is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C-1%2C2%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C-1%2C2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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