document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907208>Question 907208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5x-y+z=4, 3x=2y-3z=36, x-3y+2z=-25 Complete the ordered triple </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550193 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=550193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming that is +2y in the second equation<BR>\n" );
document.write( "(3,6,-5)\r<BR>\n" );
document.write( "\n" );
document.write( "5,-1,1,4<BR>\n" );
document.write( "3,2,-3,36<BR>\n" );
document.write( "1,-3,2,-25\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 1 by 5<BR>\n" );
document.write( "1,-1/5,1/5,4/5<BR>\n" );
document.write( "3,2,-3,36<BR>\n" );
document.write( "1,-3,2,-25\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-3) *row 1 to row 2<BR>\n" );
document.write( "1,-1/5,1/5,4/5<BR>\n" );
document.write( "0,13/5,-18/5,168/5<BR>\n" );
document.write( "1,-3,2,-25\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-1) *row 1 to row 3<BR>\n" );
document.write( "1,-1/5,1/5,4/5<BR>\n" );
document.write( "0,13/5,-18/5,168/5<BR>\n" );
document.write( "0,-14/5,9/5,-129/5\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 2 by 13/5<BR>\n" );
document.write( "1,-1/5,1/5,4/5<BR>\n" );
document.write( "0,1,-90/65,840/65<BR>\n" );
document.write( "0,-14/5,9/5,-129/5\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (14/5) *row 2 to row 3<BR>\n" );
document.write( "1,-1/5,1/5,4/5<BR>\n" );
document.write( "0,1,-18/13,168/13<BR>\n" );
document.write( "0,0,-675/325,3375/325\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 3 by -27/13<BR>\n" );
document.write( "1,-1/5,1/5,4/5<BR>\n" );
document.write( "0,1,-18/13,168/13<BR>\n" );
document.write( "0,0,1,-5\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  (18/13) *row 3 to row 2<BR>\n" );
document.write( "1,-1/5,1/5,4/5<BR>\n" );
document.write( "0,1,0,6<BR>\n" );
document.write( "0,0,1,-5\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (-1/5) *row 3 to row 1<BR>\n" );
document.write( "1,-5/25,0,45/25<BR>\n" );
document.write( "0,1,0,6<BR>\n" );
document.write( "0,0,1,-5\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (5/25) *row 2 to row 1<BR>\n" );
document.write( "1,0,0,3<BR>\n" );
document.write( "0,1,0,6<BR>\n" );
document.write( "0,0,1,-5\r<BR>\n" );
document.write( "\n" );
document.write( "final<BR>\n" );
document.write( "1,0,0,3<BR>\n" );
document.write( "0,1,0,6<BR>\n" );
document.write( "0,0,1,-5\r<BR>\n" );
document.write( "\n" );
document.write( "1,0,0,3<BR>\n" );
document.write( "0,1,0,6<BR>\n" );
document.write( "0,0,1,-5<BR>\n" );
document.write( "\"3\",\"6\",\"-5\"<BR>\n" );
document.write( "(3,6,-5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );