document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515251>Question 515251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve this equation.<BR>\n" );
document.write( " 1. x+y+z=6<BR>\n" );
document.write( "    2x-y+3z=9<BR>\n" );
document.write( "    -x+2y+2z=9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343886 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=343886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve this equation.<BR>\n" );
document.write( "x+y+z=6.................(1)<BR>\n" );
document.write( "2x-y+3z=9...............(2)<BR>\n" );
document.write( "-x+2y+2z=9..............(3)\r<BR>\n" );
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document.write( "Add (1) and (2)<BR>\n" );
document.write( "x+y+z=6.................(1)<BR>\n" );
document.write( "-x+2y+2z=9..............(3)<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "3y+3z=15<BR>\n" );
document.write( "3(y+z)=15<BR>\n" );
document.write( "3(y+z)/3=15/3<BR>\n" );
document.write( "y+z=5.................(4)\r<BR>\n" );
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document.write( "Multiply (3) by 2<BR>\n" );
document.write( "-x+2y+2z=9..............(3)<BR>\n" );
document.write( "-2x+4y+4z=18<BR>\n" );
document.write( "Add above equation and (2)<BR>\n" );
document.write( "-2x+4y+4z=18<BR>\n" );
document.write( "2x-y+3z=9...............(2)<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "3y+7z=27..................(5)\r<BR>\n" );
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document.write( "Multiply equation (4) by -3 and add to (5)<BR>\n" );
document.write( "-3*(y+z)=-3*5.................(4)<BR>\n" );
document.write( "-3y-3z=-15<BR>\n" );
document.write( "3y+7z=27..................(5)<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "4z=12<BR>\n" );
document.write( "4z/4=12/4<BR>\n" );
document.write( "z=3<BR>\n" );
document.write( "Put the value of z in (4)<BR>\n" );
document.write( "y+z=5.................(4)<BR>\n" );
document.write( "y+3=5<BR>\n" );
document.write( "y=5-3<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "Put the values of y and z in (1)<BR>\n" );
document.write( "x+y+z=6.................(1)<BR>\n" );
document.write( "x+2+3=6<BR>\n" );
document.write( "x+5=6<BR>\n" );
document.write( "x=6-5<BR>\n" );
document.write( "x=1\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" );
document.write( "Put the values of x,y,z in (2)<BR>\n" );
document.write( "2x-y+3z=9...............(2)<BR>\n" );
document.write( "2(1)-2+3(3)=9<BR>\n" );
document.write( "2-2+9=9<BR>\n" );
document.write( "9=9 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );