document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=423897>Question 423897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations:\r<BR>\n" );
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document.write( "-3x + y -   z = -10<BR>\n" );
document.write( "-4x + 2y + 3z = -1<BR>\n" );
document.write( " 2x + 3y - 2z = -5  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295691 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the 1st equation, we get z = -3x + y + 10.\r<BR>\n" );
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document.write( "Into the 2nd equation: -4x + 2y + 3(-3x + y + 10) = -1,<BR>\n" );
document.write( "<==> -4x + 2y - 9x+ 3y + 30 = -1<BR>\n" );
document.write( "<==> -13x + 5y = -31\r<BR>\n" );
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document.write( "Into the 3rd equation: 2x + 3y - 2(-3x + y + 10) = -5<BR>\n" );
document.write( "<==> 2x + 3y + 6x - 2y - 20 = -5<BR>\n" );
document.write( "<==> 8x + y = 15 ==>  y = 15 - 8x\r<BR>\n" );
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document.write( "==> -13x + 5(15 - 8x) = -31<BR>\n" );
document.write( "==> -13x + 75 - 40x = -31<BR>\n" );
document.write( "-53x = -106<BR>\n" );
document.write( "==> x = 2.<BR>\n" );
document.write( "==> y = 15 - 8*2 = 15 - 16 = -1<BR>\n" );
document.write( "==> z = -3*2 + (-1) + 10 = -6 - 1 + 10 = 3 </SPAN>\n" );
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