document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=865694>Question 865694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve 3x+y=13, 2x-7y=24 by using the inverse matrix? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524897 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=524897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = 5,   y = -2\r<BR>\n" );
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document.write( "Your matrix\r<BR>\n" );
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document.write( "	X1	X2	b<BR>\n" );
document.write( "	3	1	13<BR>\n" );
document.write( "	2	-7	24\r<BR>\n" );
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document.write( "	X1	X2<BR>\n" );
document.write( "	3	1<BR>\n" );
document.write( "	2	-7<BR>\n" );
document.write( "Determinant is not zero, therefore inverse matrix exists\r<BR>\n" );
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document.write( "	X1	X2<BR>\n" );
document.write( "	7/23	1/23<BR>\n" );
document.write( "	2/23	-3/23\r<BR>\n" );
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document.write( "Multiply the inverse matrix by the solution vector\r<BR>\n" );
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document.write( "	X<BR>\n" );
document.write( "	5<BR>\n" );
document.write( "	-2\r<BR>\n" );
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document.write( "Solution set:\r<BR>\n" );
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document.write( "x1 = 5  x2=-2 </SPAN>\n" );
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