document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647926>Question 647926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you solve this system of equations:\r<BR>\n" );
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document.write( "2x-3y+z=5<BR>\n" );
document.write( "x+3y+8z=22<BR>\n" );
document.write( "3x-y+2z=12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406519 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=406519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The system\r<BR>\n" );
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document.write( "2x-3y+z=5<BR>\n" );
document.write( "x+3y+8z=22<BR>\n" );
document.write( "3x-y+2z=12\r<BR>\n" );
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document.write( "converts to the matrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\LARGE \begin{bmatrix} 2 & -3 & 1 & 5\\ 1 & 3 & 8 & 22\\ 3 & -1 & 2 & 12 \end{bmatrix}\" title=\"\LARGE \begin{bmatrix} 2 & -3 & 1 & 5\\ 1 & 3 & 8 & 22\\ 3 & -1 & 2 & 12 \end{bmatrix}\" />\r<BR>\n" );
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document.write( "Now row reduce to get \r<BR>\n" );
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document.write( "(Solution 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( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/9-8-20129-25-03PM.png\">\r<BR>\n" );
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document.write( "(Solution 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( "So the solutions are \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <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;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+2 ALIGN=MIDDLE  ALT=\"z+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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