document.write( "Question 1059714: How do I solve this system using an augmented matrix?\r
\n" ); document.write( "\n" ); document.write( "–x – 3y = –17
\n" ); document.write( "2x – 6y = –26 \n" ); document.write( "

Algebra.Com's Answer #674750 by ikleyn(52847) $\"\"$ $\"About$

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\n" ); document.write( "How do I solve this system using an augmented matrix?\r
\n" ); document.write( "\n" ); document.write( "–x – 3y = –17
\n" ); document.write( "2x – 6y = –26
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\n" ); document.write( "\n" ); document.write( "Solution set:\r
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document.write( "x1 = 2\r\n" );
document.write( "x2 = 5\r\n" );
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document.write( "Your matrix\r\n" );
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document.write( "№	X1	X2	b\r\n" );
document.write( "1	-1	-3	-17\r\n" );
document.write( "2	2	-6	-26\r\n" );
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document.write( "Find the pivot in the 1st column in the 1st row (inversing the sign in the whole row)\r\n" );
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document.write( "№	X1	X2	b\r\n" );
document.write( "1	1	3	17\r\n" );
document.write( "2	2	-6	-26\r\n" );
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document.write( "Multiply the 1st row by 2\r\n" );
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document.write( "№	X1	X2	b\r\n" );
document.write( "1	2	6	34\r\n" );
document.write( "2	2	-6	-26\r\n" );
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document.write( "Subtract the 1st row from the 2nd row and restore it\r\n" );
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document.write( "№	X1	X2	b\r\n" );
document.write( "1	1	3	17\r\n" );
document.write( "2	0	-12	-60\r\n" );
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document.write( "Make the pivot in the 2nd column by dividing the 2nd row by -12\r\n" );
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document.write( "№	X1	X2	b\r\n" );
document.write( "1	1	3	17\r\n" );
document.write( "2	0	1	5\r\n" );
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document.write( "Multiply the 2nd row by 3\r\n" );
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document.write( "№	X1	X2	b\r\n" );
document.write( "1	1	3	17\r\n" );
document.write( "2	0	3	15\r\n" );
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document.write( "Subtract the 2nd row from the 1st row and restore it\r\n" );
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document.write( "№	X1	X2	b\r\n" );
document.write( "1	1	0	2\r\n" );
document.write( "2	0	1	5\r\n" );
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