document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672662>Question 672662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4a+5b-6c=2<BR>\n" );
document.write( "-3a-2b+7c=-15<BR>\n" );
document.write( "-a+4b+2c=-13\r<BR>\n" );
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document.write( "I know the answer is (-3, -2 -4) but can't figure out how to get it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418268 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=418268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are many ways to do this, but here is one of them.\r<BR>\n" );
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document.write( "Convert \r<BR>\n" );
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document.write( "4a+5b-6c=2<BR>\n" );
document.write( "-3a-2b+7c=-15<BR>\n" );
document.write( "-a+4b+2c=-13\r<BR>\n" );
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document.write( "to matrix form to get\r<BR>\n" );
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document.write( "4	5	-6	2\r\n" );
document.write( "-3	-2	7	-15\r\n" );
document.write( "-1	4	2	-13\r\n" );
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document.write( "Then use row reduction\r<BR>\n" );
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document.write( "4	5	-6	2\r\n" );
document.write( "-3	-2	7	-15\r\n" );
document.write( "-1	4	2	-13\r\n" );
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document.write( "1	1.25	-1.5	0.5     	0.25*R1\r\n" );
document.write( "-3	-2	7	-15	\r\n" );
document.write( "-1	4	2	-13	\r\n" );
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document.write( "1	1.25	-1.5	0.5	\r\n" );
document.write( "0	1.75	2.5	-13.5   	R2 + (3)*R1\r\n" );
document.write( "-1	4	2	-13	\r\n" );
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document.write( "1	1.25	-1.5	0.5	\r\n" );
document.write( "0	1.75	2.5	-13.5	\r\n" );
document.write( "0	5.25	0.5	-12.5   	R3 + (1)*R1\r\n" );
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document.write( "1	1.25	-1.5	0.5	\r\n" );
document.write( "0	1	1.4286	-7.7143 	0.571429*R2\r\n" );
document.write( "0	5.25	0.5	-12.5	\r\n" );
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document.write( "1	0	-3.2857	10.1429 	R1 + (-1.25)*R2\r\n" );
document.write( "0	1	1.4286	-7.7143	\r\n" );
document.write( "0	5.25	0.5	-12.5	\r\n" );
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document.write( "1	0	-3.2857	10.1429	\r\n" );
document.write( "0	1	1.4286	-7.7143	\r\n" );
document.write( "0	0	-7	28      	R3 + (-5.25)*R2\r\n" );
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document.write( "1	0	-3.2857	10.1429	\r\n" );
document.write( "0	1	1.4286	-7.7143	\r\n" );
document.write( "0	0	1	-4      	-0.142857*R3\r\n" );
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document.write( "1	0	0	-3      	R1 + (3.28571)*R3\r\n" );
document.write( "0	1	1.4286	-7.7143	\r\n" );
document.write( "0	0	1	-4	\r\n" );
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document.write( "1	0	0	-3	\r\n" );
document.write( "0	1	0	-2      	R2 + (-1.42857)*R3\r\n" );
document.write( "0	0	1	-4	\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( "The right hand column is -3, -2, -4\r<BR>\n" );
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document.write( "These 3 values correspond to a, b, and c respectively.\r<BR>\n" );
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document.write( "So the solutions are...\r<BR>\n" );
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document.write( "a = -3\r<BR>\n" );
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document.write( "b = -2\r<BR>\n" );
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document.write( "c = -4\r<BR>\n" );
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document.write( "They form the ordered triple (-3, -2, -4) </SPAN>\n" );
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