document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107383>Question 107383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi I'm having a problem solving an augmented matrix if someone could help me that would be great!!\r<BR>\n" );
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document.write( "The directions are solve the system using an augmented matrix\r<BR>\n" );
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document.write( "5x+2y=2<BR>\n" );
document.write( "3x-y=-12\r<BR>\n" );
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document.write( "Thank-you so much for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78246 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=78246\">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( "5x+2y=2<BR>\n" );
document.write( "3x-y=-12\r<BR>\n" );
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document.write( "Now write the coefficients and the right side in an augmented 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%2C5%2C2%2C2%2C3%2C-1%2C-12%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C5%2C2%2C2%2C3%2C-1%2C-12%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%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   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%2C2%2F5%2C2%2F5%2C3%2C-1%2C-12%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C1%2C2%2F5%2C2%2F5%2C3%2C-1%2C-12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  -3*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%2C2%2F5%2C2%2F5%2C0%2C-11%2F5%2C-66%2F5%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C1%2C2%2F5%2C2%2F5%2C0%2C-11%2F5%2C-66%2F5%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=-5%2F11 ALIGN=MIDDLE  ALT=\"-5%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%2C2%2F5%2C2%2F5%2C0%2C1%2C6%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C1%2C2%2F5%2C2%2F5%2C0%2C1%2C6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  -2/5*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%282%2C3%2C1%2C0%2C-2%2C0%2C1%2C6%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C1%2C0%2C-2%2C0%2C1%2C6%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( "So our answer is (-2,6) or <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;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6 ALIGN=MIDDLE  ALT=\"y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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> </SPAN>\n" );
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