document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958270>Question 958270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use Gauss-Jordan elimination to solve the following system of equations.<BR>\n" );
document.write( "x+y+z=2<BR>\n" );
document.write( "2x-3y+z=-11<BR>\n" );
document.write( "-x+2y-z=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585647 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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/cgi-bin/show-face.mpl?user=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=585647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The beginning matrix is\r<BR>\n" );
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document.write( "1  1  1  2<BR>\n" );
document.write( "2 -3  1 -11<BR>\n" );
document.write( "-1 2 -1  8\r<BR>\n" );
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document.write( "add 1 times the 1st row to the 3rd row<BR>\n" );
document.write( "1  1  1  2<BR>\n" );
document.write( "2 -3  1 -11<BR>\n" );
document.write( "0  3  0  10\r<BR>\n" );
document.write( "\n" );
document.write( "add -2 times the 1st row to the 2nd row<BR>\n" );
document.write( "1  1  1  2<BR>\n" );
document.write( "2 -5 -1 -15<BR>\n" );
document.write( "0  3  0  10\r<BR>\n" );
document.write( "\n" );
document.write( "add 3/5 times the 2nd row to the 3rd row<BR>\n" );
document.write( "1  1    1   2<BR>\n" );
document.write( "0 -5   -1  -15<BR>\n" );
document.write( "0  0  -3/5  1\r<BR>\n" );
document.write( "\n" );
document.write( "multiply the 3rd row by -5/3<BR>\n" );
document.write( "1  1    1   2<BR>\n" );
document.write( "0 -5   -1  -15<BR>\n" );
document.write( "0  0    1  -5/3\r<BR>\n" );
document.write( "\n" );
document.write( "add -1 times the 3rd row to the 1st row<BR>\n" );
document.write( "1  1    0   11/3<BR>\n" );
document.write( "0 -5   -1  -15<BR>\n" );
document.write( "0  0    1  -5/3\r<BR>\n" );
document.write( "\n" );
document.write( "add -1 times the 3rd row to the 2nd row<BR>\n" );
document.write( "1  1    0   11/3<BR>\n" );
document.write( "0 -5   0   -50/3<BR>\n" );
document.write( "0  0    1  -5/3\r<BR>\n" );
document.write( "\n" );
document.write( "multiply the 2nd row by -1/5<BR>\n" );
document.write( "1  1    0   11/3<BR>\n" );
document.write( "0 -5   0   -50/3<BR>\n" );
document.write( "0  0    1  -5/3\r<BR>\n" );
document.write( "\n" );
document.write( "add 1 times the 3rd row to the 2nd row<BR>\n" );
document.write( "1  1    0   11/3<BR>\n" );
document.write( "0  1    0   10/3<BR>\n" );
document.write( "0  0    1  -5/3\r<BR>\n" );
document.write( "\n" );
document.write( "add -1 times the 2nd row to the 1st row<BR>\n" );
document.write( "1  0    0   1/3<BR>\n" );
document.write( "0  1    0   10/3<BR>\n" );
document.write( "0  0    1  -5/3\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );