document.write( "Question 1096191: Determine if the following system of equation are consistent or in consistent?(linear equation)
\n" ); document.write( " X¹+3x³= 2
\n" ); document.write( "X² - 3x⁴=3
\n" ); document.write( "-2x¹+3x³+2x⁴=1
\n" ); document.write( "3x¹ + 7x⁴=-5 \n" ); document.write( "
Algebra.Com's Answer #710686 by ikleyn(52796)\"\" \"About 
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document.write( "Your matrix\r\n" );
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document.write( "        X1	X2	X3	X4	b\r\n" );
document.write( "1	1	0	3	0	2\r\n" );
document.write( "2	0	1	0	-3	3\r\n" );
document.write( "3	-2	0	3	2	1\r\n" );
document.write( "4	3	0	0	7	5\r\n" );
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document.write( "Find the pivot in the 1st column in the 1st row\r\n" );
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document.write( "        X1	X2	X3	X4	b\r\n" );
document.write( "1	1	0	3	0	2\r\n" );
document.write( "2	0	1	0	-3	3\r\n" );
document.write( "3	-2	0	3	2	1\r\n" );
document.write( "4	3	0	0	7	5\r\n" );
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document.write( "Eliminate the 1st column\r\n" );
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document.write( "        X1	X2	X3	X4	b\r\n" );
document.write( "1	1	0	3	0	2\r\n" );
document.write( "2	0	1	0	-3	3\r\n" );
document.write( "3	0	0	9	2	5\r\n" );
document.write( "4	0	0	-9	7	-1\r\n" );
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document.write( "Find the pivot in the 2nd column in the 2nd row\r\n" );
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document.write( "        X1	X2	X3	X4	b\r\n" );
document.write( "1	1	0	3	0	2\r\n" );
document.write( "2	0	1	0	-3	3\r\n" );
document.write( "3	0	0	9	2	5\r\n" );
document.write( "4	0	0	-9	7	-1\r\n" );
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document.write( "Make the pivot in the 3rd column by dividing the 3rd row by 9\r\n" );
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document.write( "        X1	X2	X3	X4	b\r\n" );
document.write( "1	1	0	3	0	2\r\n" );
document.write( "2	0	1	0	-3	3\r\n" );
document.write( "3	0	0	1	2/9	5/9\r\n" );
document.write( "4	0	0	-9	7	-1\r\n" );
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document.write( "Eliminate the 3rd column\r\n" );
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document.write( "        X1	X2	X3	X4	b\r\n" );
document.write( "1	1	0	0	-2/3	1/3\r\n" );
document.write( "2	0	1	0	-3	3\r\n" );
document.write( "3	0	0	1	2/9	5/9\r\n" );
document.write( "4	0	0	0	9	4\r\n" );
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document.write( "Make the pivot in the 4th column by dividing the 4th row by 9\r\n" );
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document.write( "        X1	X2	X3	X4	b\r\n" );
document.write( "1	1	0	0	-2/3	1/3\r\n" );
document.write( "2	0	1	0	-3	3\r\n" );
document.write( "3	0	0	1	2/9	5/9\r\n" );
document.write( "4	0	0	0	1	4/9\r\n" );
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document.write( "Eliminate the 4th column\r\n" );
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document.write( "        X1	X2	X3	X4	b\r\n" );
document.write( "1	1	0	0	0	17/27\r\n" );
document.write( "2	0	1	0	0	13/3\r\n" );
document.write( "3	0	0	1	0	37/81\r\n" );
document.write( "4	0	0	0	1	4/9\r\n" );
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document.write( "Solution set:\r\n" );
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document.write( "x1 = 17/27\r\n" );
document.write( "x2 = 13/3\r\n" );
document.write( "x3 = 37/81\r\n" );
document.write( "x4 = 4/9\r\n" );
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