document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186539>Question 186539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system.<BR>\n" );
document.write( " <BR>\n" );
document.write( "2x+2y+3z=10<BR>\n" );
document.write( "3x+y-z=0<BR>\n" );
document.write( "x+y+2z=6\r<BR>\n" );
document.write( "\n" );
document.write( "x=<BR>\n" );
document.write( "y=<BR>\n" );
document.write( "z= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139959 by </B><A HREF=/tutors/aboutme.mpl?userid=uday1435><B>uday1435(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uday1435><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=uday1435><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+2y+3z=10		(1)<BR>\n" );
document.write( "3x+y-z=0			(2)<BR>\n" );
document.write( "x+y+2z=6			(3)\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply eqn (2) by 2 and subtract from eqn(1)<BR>\n" );
document.write( "2x+2y+3z=10		(1)		<BR>\n" );
document.write( "6x+2y - 2z=0		(2) x 2\r<BR>\n" );
document.write( "\n" );
document.write( "- 4x + 5z = 10		(4)        (1) – (2) x 2<BR>\n" );
document.write( "Multiply eqn (3) by 2 and subtract from eqn(1)\r<BR>\n" );
document.write( "\n" );
document.write( "2x+2y+3z=10		(1)<BR>\n" );
document.write( "2x+2y+4z=12		(5)         (3) x 2\r<BR>\n" );
document.write( "\n" );
document.write( "-	z = - 2<BR>\n" );
document.write( "So z = 2<BR>\n" );
document.write( "Plugging in the value of z in eqn(4)<BR>\n" );
document.write( "-	4x + 5(2) = 10;  -4x = 10-10 =0; so x = 0<BR>\n" );
document.write( "Now plug-in the values of x (=0) ad z (=2) in eqn (3)\r<BR>\n" );
document.write( "\n" );
document.write( "x + y + 2z = 6   		(3)<BR>\n" );
document.write( "0 + y +2(2) =6<BR>\n" );
document.write( "y + 4 =6;  so y = 6-4 = 2\r<BR>\n" );
document.write( "\n" );
document.write( "So the answers are x =0,  y=2,   z = 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you need further clarification, please email: udayakumar.t.r@gmail.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );