document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626383>Question 626383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations. What is the value of y?\r<BR>\n" );
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document.write( "x - y - z = 0<BR>\n" );
document.write( "3x + y - z = 2<BR>\n" );
document.write( "x + 2y + z = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #394261 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=394261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-y-z=0...................(1)<BR>\n" );
document.write( "3x+y-z=2...................(2)<BR>\n" );
document.write( "x+2y+z=0...................(3)\r<BR>\n" );
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document.write( "Multiply (1) by -1 and add to (2)\r<BR>\n" );
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document.write( "-x+y+z=0<BR>\n" );
document.write( "3x+y-z=2<BR>\n" );
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document.write( "2x+2y=2<BR>\n" );
document.write( "2(x+y)=2<BR>\n" );
document.write( "2(x+y)/2=2/2<BR>\n" );
document.write( "x+y=1<BR>\n" );
document.write( "x=1-y....................(4)\r<BR>\n" );
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document.write( "Add (2) and (3)<BR>\n" );
document.write( "3x+y-z=2<BR>\n" );
document.write( "x+2y+z=0<BR>\n" );
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document.write( "4x+3y=2.................(5)<BR>\n" );
document.write( "Put the value of x from (4) to (5)<BR>\n" );
document.write( "4(1-y)+3y=2<BR>\n" );
document.write( "4-4y+3y=2<BR>\n" );
document.write( "4-y=2<BR>\n" );
document.write( "-y=2-4<BR>\n" );
document.write( "-y=-2<BR>\n" );
document.write( "cancel out (-)<BR>\n" );
document.write( "y=2\r<BR>\n" );
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document.write( "Put the value of y in (4)<BR>\n" );
document.write( "x=1-y....................(4)<BR>\n" );
document.write( "x=1-2<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "Put the value of x and y in (1)<BR>\n" );
document.write( "x-y-z=0...................(1)<BR>\n" );
document.write( "-1-2-z=0<BR>\n" );
document.write( "-3-z=0<BR>\n" );
document.write( "-z=3<BR>\n" );
document.write( "z=-3\r<BR>\n" );
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document.write( "x,y,z=-1,2,-3\r<BR>\n" );
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document.write( "Check<BR>\n" );
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document.write( "Put the values of x, y and z in (1)<BR>\n" );
document.write( "x-y-z=0...................(1)<BR>\n" );
document.write( "-1-2-(-2)=0<BR>\n" );
document.write( "-3+3=0<BR>\n" );
document.write( "0=0<BR>\n" );
document.write( "Put the values of x, y and z in (2)<BR>\n" );
document.write( "3x+y-z=2...................(2)<BR>\n" );
document.write( "3(-1)+2-(-3)=2<BR>\n" );
document.write( "-3+2+3=2<BR>\n" );
document.write( "2=2<BR>\n" );
document.write( "Put the values of x, y and z in (3)<BR>\n" );
document.write( "x+2y+z=0...................(3)<BR>\n" );
document.write( "-1+2(2)+(-3)=0<BR>\n" );
document.write( "-1+4-3=0<BR>\n" );
document.write( "4-4=0<BR>\n" );
document.write( "0=0\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );