document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=899754>Question 899754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of linear equations using the Gauss-Jordan elimination method.<BR>\n" );
document.write( "2x	 + 	2y	 + 	z	 = 	&#8722;7<BR>\n" );
document.write( "x			 + 	z	 = 	&#8722;3<BR>\n" );
document.write( "4y	 &#8722; 	3z	 = 	13<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545589 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=545589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2,2,1,-7<BR>\n" );
document.write( "1,0,1,-3<BR>\n" );
document.write( "0,4,-3,13\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 1 by 2<BR>\n" );
document.write( "1,1,1/2,-7/2<BR>\n" );
document.write( "1,0,1,-3<BR>\n" );
document.write( "0,4,-3,13\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-1) *row 1 to row 2<BR>\n" );
document.write( "1,1,1/2,-7/2<BR>\n" );
document.write( "0,-1,1/2,1/2<BR>\n" );
document.write( "0,4,-3,13\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (0) *row 1 to row 3<BR>\n" );
document.write( "1,1,1/2,-7/2<BR>\n" );
document.write( "0,-1,1/2,1/2<BR>\n" );
document.write( "0,4,-3,13\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 2 by -1<BR>\n" );
document.write( "1,1,1/2,-7/2<BR>\n" );
document.write( "0,1,1/-2,1/-2<BR>\n" );
document.write( "0,4,-3,13\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-4) *row 2 to row 3<BR>\n" );
document.write( "1,1,1/2,-7/2<BR>\n" );
document.write( "0,1,1/-2,1/-2<BR>\n" );
document.write( "0,0,-1,15\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 3 by -1<BR>\n" );
document.write( "1,1,1/2,-7/2<BR>\n" );
document.write( "0,1,1/-2,1/-2<BR>\n" );
document.write( "0,0,1,-15\r<BR>\n" );
document.write( "\n" );
document.write( "We now have the value for the last variable.<BR>\n" );
document.write( "We will work our way up and get the other solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (1/2) *row 3 to row 2<BR>\n" );
document.write( "1,1,1/2,-7/2<BR>\n" );
document.write( "0,1,0,-8<BR>\n" );
document.write( "0,0,1,-15\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (-1/2) *row 3 to row 1<BR>\n" );
document.write( "1,1,0,4<BR>\n" );
document.write( "0,1,0,-8<BR>\n" );
document.write( "0,0,1,-15\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (-1) *row 2 to row 1<BR>\n" );
document.write( "1,0,0,12<BR>\n" );
document.write( "0,1,0,-8<BR>\n" );
document.write( "0,0,1,-15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "\"12\",\"-8\",\"-15\"<BR>\n" );
document.write( "(12,-8,-15)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );