document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212564>Question 212564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x+y-2z=5<BR>\n" );
document.write( "x+2y+z=8<BR>\n" );
document.write( "2x+3y-z=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160525 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=160525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y-2z=5<BR>\n" );
document.write( "x+2y+z=8<BR>\n" );
document.write( "2x+3y-z=1<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "subtract the 1st Eq. from the 2nd<BR>\n" );
document.write( "Subtract twice the 1st Eq. from the 3rd<BR>\n" );
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document.write( "x+y-2z=5<BR>\n" );
document.write( "0+y+3z=3<BR>\n" );
document.write( "0+y+3z=-10<BR>\n" );
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document.write( "Subtract the 2nd Eq. from the 3rd:<BR>\n" );
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document.write( "x+y-2z=5<BR>\n" );
document.write( "0+y+3z=3<BR>\n" );
document.write( "0+0+0 =7<BR>\n" );
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document.write( "The last equation shows a contradiction.<BR>\n" );
document.write( "There is no solution for the system.<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );