document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151163>Question 151163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me solve this system of equations?\r<BR>\n" );
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document.write( "5x+3y+z=-13<BR>\n" );
document.write( "x-3y+2z=1<BR>\n" );
document.write( "14x-2y+3z=-16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111075 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=111075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From R1:<BR>\n" );
document.write( "z=-13-3y-5x\r<BR>\n" );
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document.write( "Put this in R2:\r<BR>\n" );
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document.write( "x-3y+2(-13-3y-5x)=1<BR>\n" );
document.write( "-9x-9y=27<BR>\n" );
document.write( "x+y=-3<BR>\n" );
document.write( "y=-3-x\r<BR>\n" );
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document.write( "Redo z<BR>\n" );
document.write( "z=-13-3(-3-x)-5x<BR>\n" );
document.write( "z=-4-2x\r<BR>\n" );
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document.write( "Now use y and z in the last equation:<BR>\n" );
document.write( "14x-2(-3-x)+3(-4-2x)=-16<BR>\n" );
document.write( "10x=-10<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "then<BR>\n" );
document.write( "y=-3+1=-2<BR>\n" );
document.write( "and<BR>\n" );
document.write( "z=-4+2=-2\r<BR>\n" );
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document.write( "So our solution set is {-1,-2,-2}.\r<BR>\n" );
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document.write( "check:<BR>\n" );
document.write( "-5-6-2=-13<BR>\n" );
document.write( "-1+6-4=1<BR>\n" );
document.write( "-14+4-6=-16\r<BR>\n" );
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document.write( "Yes </SPAN>\n" );
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