document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=530260>Question 530260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations.\r<BR>\n" );
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document.write( "x + 3y + 2z = –16<BR>\n" );
document.write( "2x – y + 2z = –15<BR>\n" );
document.write( "2x – 2y – z = 1<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349983 by </B><A HREF=/tutors/aboutme.mpl?userid=Math_prodigy><B>Math_prodigy(24)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Math_prodigy><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=349983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + 3y + 2z = –16 (a)<BR>\n" );
document.write( "2x – y + 2z = –15 (b)<BR>\n" );
document.write( "2x – 2y – z = 1   (c)<BR>\n" );
document.write( "Eliminate z:<BR>\n" );
document.write( "a-b: -x+4y=-1 <BR>\n" );
document.write( "2c: 4x-4y-2z=2<BR>\n" );
document.write( "b+2c: 6x-5y=-13<BR>\n" );
document.write( "We got new system<BR>\n" );
document.write( "-x+4y=-1<BR>\n" );
document.write( "6x-5y=-13<BR>\n" );
document.write( "Solve it:<BR>\n" );
document.write( "x=4y+1<BR>\n" );
document.write( "6(4y+1)-5y=-13<BR>\n" );
document.write( "24y+6-5y=-13<BR>\n" );
document.write( "19y=-19<BR>\n" );
document.write( "y=-1<BR>\n" );
document.write( "x=4*(-1)+1=-3<BR>\n" );
document.write( "Substitute x and y into (c)<BR>\n" );
document.write( "z=2x-2y-1=2*(-3)-2*(-1)-1<BR>\n" );
document.write( "z=-5<BR>\n" );
document.write( "ans: -3, -1, -5\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );