document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209789>Question 209789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x-y+2z=1   x+2y+z=4   2x+y-z=5 find x y and z </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158626 by </B><A HREF=/tutors/aboutme.mpl?userid=silencehurts><B>silencehurts(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=silencehurts><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-y+2z=1 y=x+2z <BR>\n" );
document.write( "x+2y+z=4 x=-2y-z+4<BR>\n" );
document.write( "2x+y-z=5 z=2x+y-5\r<BR>\n" );
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document.write( "find x y z\r<BR>\n" );
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document.write( "    z=    2x    +y-5<BR>\n" );
document.write( "    z=2(-2y-z+4)+y-5<BR>\n" );
document.write( "   z= -4y-2z+8 +y-5<BR>\n" );
document.write( "   z=-3y-2z+3<BR>\n" );
document.write( "z+2z=-3y+3<BR>\n" );
document.write( "  3z=-3y+3<BR>\n" );
document.write( "  --  -----<BR>\n" );
document.write( "   3    3\r<BR>\n" );
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document.write( "   z=-y+1<BR>\n" );
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document.write( "   y=x+2z <BR>\n" );
document.write( "   y=x+2(-y+1)<BR>\n" );
document.write( "   y=x+(-2y+2)<BR>\n" );
document.write( "   y=x-2y+2<BR>\n" );
document.write( "y+2y=x+2\r<BR>\n" );
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document.write( "3y-2=x\r<BR>\n" );
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document.write( "2x+y-z=5<BR>\n" );
document.write( "   y  =5+z-2x<BR>\n" );
document.write( "   y  =5+(-y+1)-2(3y-2)<BR>\n" );
document.write( "   y  =5+ -y+1 - (6y-4)<BR>\n" );
document.write( "   y  =6+ -y   + -6y+4 <BR>\n" );
document.write( "   y  =10 -7y<BR>\n" );
document.write( "  y+7y=10 <BR>\n" );
document.write( "  8y  =10<BR>\n" );
document.write( "   <BR>\n" );
document.write( "      10<BR>\n" );
document.write( "y  = ----<BR>\n" );
document.write( "       8\r<BR>\n" );
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document.write( "z=-y+1=1-y<BR>\n" );
document.write( "z= 1 - 10<BR>\n" );
document.write( "       --<BR>\n" );
document.write( "        8<BR>\n" );
document.write( "z= 8-10<BR>\n" );
document.write( "   ----<BR>\n" );
document.write( "    8\r<BR>\n" );
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document.write( "      2<BR>\n" );
document.write( "z= - --- <BR>\n" );
document.write( "      8\r<BR>\n" );
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document.write( "3y-2=x\r<BR>\n" );
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document.write( "3(10)-2=x<BR>\n" );
document.write( "  --<BR>\n" );
document.write( "   8\r<BR>\n" );
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document.write( "30 - 16 <BR>\n" );
document.write( "--   -- = X<BR>\n" );
document.write( " 8    8\r<BR>\n" );
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document.write( "14<BR>\n" );
document.write( "--  = X<BR>\n" );
document.write( " 8\r<BR>\n" );
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document.write( "CHECKING\r<BR>\n" );
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document.write( "2x+y-z=5\r<BR>\n" );
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document.write( " 2(14)  10   (-2)<BR>\n" );
document.write( "   -- + -- - -- = 5<BR>\n" );
document.write( "    8    8    8\r<BR>\n" );
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document.write( "   28 + 10  + 2<BR>\n" );
document.write( "   ------------- = 5<BR>\n" );
document.write( "         8    \r<BR>\n" );
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document.write( "         40<BR>\n" );
document.write( "         --   =  5<BR>\n" );
document.write( "          8\r<BR>\n" );
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document.write( "         5=5   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );