document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=690540>Question 690540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution set:\r<BR>\n" );
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document.write( "2x+6y-z=6<BR>\n" );
document.write( "4x-3y+5z=-5<BR>\n" );
document.write( "6x+9y-2z=11\r<BR>\n" );
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document.write( "Thank you and Merry Christmas! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426346 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=426346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+6y-z=6<BR>\n" );
document.write( "4x-3y+5z=-5<BR>\n" );
document.write( "6x+9y-2z=11 \r<BR>\n" );
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document.write( "in matrix form is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\begin{bmatrix} 2 & 6 & -1 & 6\\ 4 & -3 & 5 & -5\\ 6 & 9 & -2 & 11 \end{bmatrix}\" title=\"\begin{bmatrix} 2 & 6 & -1 & 6\\ 4 & -3 & 5 & -5\\ 6 & 9 & -2 & 11 \end{bmatrix}\" />\r<BR>\n" );
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document.write( "Now use row reduction to get\r<BR>\n" );
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document.write( "(Solution below provided by 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( "(Solution above provided by 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 last column is 1/2, 2/3, and -1, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F2 ALIGN=MIDDLE  ALT=\"x=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2F3 ALIGN=MIDDLE  ALT=\"y=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <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( "The solution as an ordered triple is <IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\left(\frac{1}{2}, \frac{2}{3}, -1 \right )\" title=\"\left(\frac{1}{2}, \frac{2}{3}, -1 \right )\" /> </SPAN>\n" );
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