document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974316>Question 974316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of linear equations using matrices :<BR>\n" );
document.write( "2X + 3Y + 3Z =  5\r<BR>\n" );
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document.write( "X – 2Y +  Z  = - 4\r<BR>\n" );
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document.write( "3X – Y – 2 Z  =  3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596257 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=596257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2X + 3Y + 3Z =  5\r<BR>\n" );
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document.write( "X – 2Y +  Z  = - 4\r<BR>\n" );
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document.write( "3X – Y – 2 Z  =  3<BR>\n" );
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document.write( "That is a matrix.<BR>\n" );
document.write( "There are several methods of solving it, but not \"using matrices.\"<BR>\n" );
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document.write( "2X + 3Y + 3Z =  5\r<BR>\n" );
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document.write( "X – 2Y +  Z  = -4\r<BR>\n" );
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document.write( "3X – Y – 2Z  =  3<BR>\n" );
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document.write( "I'll use elimination.<BR>\n" );
document.write( "2X + 3Y + 3Z =  5  Eqn 1<BR>\n" );
document.write( "2X – 4Y + 2Z  = -8  Eqn 2 times 2<BR>\n" );
document.write( "--------------------------- Subtract<BR>\n" );
document.write( "7y + z = 13   Eqn A<BR>\n" );
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document.write( "3X – 6Y + 3Z  = -12  Eqn 2 times 3<BR>\n" );
document.write( "3X – Y – 2Z  =  3<BR>\n" );
document.write( "------------------------------- Subtract<BR>\n" );
document.write( "-5y + 5z = -15<BR>\n" );
document.write( "Divide by -5<BR>\n" );
document.write( "y - z = 3  Eqn B<BR>\n" );
document.write( "7y + z = 13   Eqn A<BR>\n" );
document.write( "------------------------------ Add<BR>\n" );
document.write( "8y = 16<BR>\n" );
document.write( "y = 2 ********************<BR>\n" );
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document.write( "y - z = 3  Eqn B<BR>\n" );
document.write( "z = -1 *******************<BR>\n" );
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document.write( "X – 2Y +  Z  = - 4<BR>\n" );
document.write( "x - 2*2 - 1 = -4<BR>\n" );
document.write( "x = 1 ********************<BR>\n" );
document.write( "(1,2,-1)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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