document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895469>Question 895469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by gauss elimination method 3x-y+2z=12,x+2y+3z=11,2x-2y-z=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543081 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=543081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x-y+2z=12,<BR>\n" );
document.write( "x+2y+3z=11,<BR>\n" );
document.write( "2x-2y-z=2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3,-1,2,12<BR>\n" );
document.write( "1,2,3,11<BR>\n" );
document.write( "2,-2,-1,2\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 1 by 3<BR>\n" );
document.write( "1,-1/3,2/3,4<BR>\n" );
document.write( "1,2,3,11<BR>\n" );
document.write( "2,-2,-1,2\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-1) *row 1 to row 2<BR>\n" );
document.write( "1,-1/3,2/3,4<BR>\n" );
document.write( "0,7/3,7/3,7<BR>\n" );
document.write( "2,-2,-1,2\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-2) *row 1 to row 3<BR>\n" );
document.write( "1,-1/3,2/3,4<BR>\n" );
document.write( "0,7/3,7/3,7<BR>\n" );
document.write( "0,-4/3,-7/3,-6\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 2 by 7/3<BR>\n" );
document.write( "1,-1/3,2/3,4<BR>\n" );
document.write( "0,1,1,3<BR>\n" );
document.write( "0,-4/3,-7/3,-6\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (4/3) *row 2 to row 3<BR>\n" );
document.write( "1,-1/3,2/3,4<BR>\n" );
document.write( "0,1,1,3<BR>\n" );
document.write( "0,0,-1,-2\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 3 by -1<BR>\n" );
document.write( "1,-1/3,2/3,4<BR>\n" );
document.write( "0,1,1,3<BR>\n" );
document.write( "0,0,1,2\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,-1/3,2/3,4<BR>\n" );
document.write( "0,1,0,1<BR>\n" );
document.write( "0,0,1,2\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (-2/3) *row 3 to row 1<BR>\n" );
document.write( "1,-3/9,0,8/3<BR>\n" );
document.write( "0,1,0,1<BR>\n" );
document.write( "0,0,1,2\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (1/3) *row 2 to row 1<BR>\n" );
document.write( "1,0,0,3<BR>\n" );
document.write( "0,1,0,1<BR>\n" );
document.write( "0,0,1,2\r<BR>\n" );
document.write( "\n" );
document.write( "final<BR>\n" );
document.write( "1,0,0,3<BR>\n" );
document.write( "0,1,0,1<BR>\n" );
document.write( "0,0,1,2\r<BR>\n" );
document.write( "\n" );
document.write( "1,0,0,3<BR>\n" );
document.write( "0,1,0,1<BR>\n" );
document.write( "0,0,1,2<BR>\n" );
document.write( "\"3\",\"1\",\"2\"<BR>\n" );
document.write( "(3,1,2)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );