document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901414>Question 901414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of linear equations using the Gauss-Jordan elimination method.<BR>\n" );
document.write( " &#8722; 	x2	 + 	x3	 = 	1<BR>\n" );
document.write( "4x1	 &#8722; 	3x2	 + 	2x3	 = 	18<BR>\n" );
document.write( "3x1	 + 	2x2	 + 	x3	 = 	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 #546720 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=546720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 0x-y+z=1<BR>\n" );
document.write( "4x-3y+2z=18<BR>\n" );
document.write( "3x+2y+z=13\r<BR>\n" );
document.write( "\n" );
document.write( "4x-3y+2z=18<BR>\n" );
document.write( "0x-y+z=1<BR>\n" );
document.write( "3x+2y+z=13\r<BR>\n" );
document.write( "\n" );
document.write( "4,-3,2,18<BR>\n" );
document.write( "0,-1,1,1<BR>\n" );
document.write( "3,2,1,13\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 1 by 4<BR>\n" );
document.write( "1,-3/4,2/4,18/4<BR>\n" );
document.write( "0,-1,1,1<BR>\n" );
document.write( "3,2,1,13\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (0) *row 1 to row 2<BR>\n" );
document.write( "1,-3/4,1/2,9/2<BR>\n" );
document.write( "0,-1,1,1<BR>\n" );
document.write( "3,2,1,13\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-3) *row 1 to row 3<BR>\n" );
document.write( "1,-3/4,1/2,9/2<BR>\n" );
document.write( "0,-1,1,1<BR>\n" );
document.write( "0,17/4,-1/2,-1/2\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 2 by -1<BR>\n" );
document.write( "1,-3/4,1/2,9/2<BR>\n" );
document.write( "0,1,-1,-1<BR>\n" );
document.write( "0,17/4,-1/2,-1/2\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-17/4) *row 2 to row 3<BR>\n" );
document.write( "1,-3/4,1/2,9/2<BR>\n" );
document.write( "0,1,-1,-1<BR>\n" );
document.write( "0,0,30/8,30/8\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 3 by 15/4<BR>\n" );
document.write( "1,-3/4,1/2,9/2<BR>\n" );
document.write( "0,1,-1,-1<BR>\n" );
document.write( "0,0,1,1\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) *row 3 to row 2<BR>\n" );
document.write( "1,-3/4,1/2,9/2<BR>\n" );
document.write( "0,1,0,0<BR>\n" );
document.write( "0,0,1,1\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (-1/2) *row 3 to row 1<BR>\n" );
document.write( "1,-6/8,0,4<BR>\n" );
document.write( "0,1,0,0<BR>\n" );
document.write( "0,0,1,1\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (3/4) *row 2 to row 1<BR>\n" );
document.write( "1,0,0,4<BR>\n" );
document.write( "0,1,0,0<BR>\n" );
document.write( "0,0,1,1\r<BR>\n" );
document.write( "\n" );
document.write( "final<BR>\n" );
document.write( "1,0,0,4<BR>\n" );
document.write( "0,1,0,0<BR>\n" );
document.write( "0,0,1,1\r<BR>\n" );
document.write( "\n" );
document.write( "\"4\",\"0\",\"1\"<BR>\n" );
document.write( "(4,0,1)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );