document.write( "Question 145139: Could someone please help me with a few problems on cramer's rule? I want to know if I'm doing it right.Thank you so much in advance.
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document.write( "1)2x + 5y = 3
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document.write( " x + 4y = 2\r
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document.write( "2)x + 2y = 4
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document.write( " 3x - 2y = -12 \n" );
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Algebra.Com's Answer #105844 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! This site explains Cramer's rule in detail: \n" ); document.write( "http://www.purplemath.com/modules/cramers.htm\r \n" ); document.write( "\n" ); document.write( "1)2x + 5y = 3 \n" ); document.write( " x + 4y = 2\r \n" ); document.write( "\n" ); document.write( "Determinant of D: \n" ); document.write( "2 5 \n" ); document.write( "1 4 \n" ); document.write( "equals (2*4)-(1*5) = 8-5 = 3 \n" ); document.write( "Determinant of D(x): \n" ); document.write( "3 5 \n" ); document.write( "2 4 \n" ); document.write( "equals (3*4)-(2*5) = 12-10 = 2\r \n" ); document.write( "\n" ); document.write( "x = D(x)/D = 2/3 \n" ); document.write( "Determinant of D(y): \n" ); document.write( "2 3 \n" ); document.write( "1 2 \n" ); document.write( "equals (2*2)-(1*3) = 4-3 = 1 \n" ); document.write( "y = D(y)/D = 1/3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2)x + 2y = 4 \n" ); document.write( " 3x - 2y = -12\r \n" ); document.write( "\n" ); document.write( "Determinant of D: \n" ); document.write( "1 2 \n" ); document.write( "3 -2 \n" ); document.write( "equals (1*(-2))-(3*2) = -2-6 = -8 \n" ); document.write( "Determinant of D(x): \n" ); document.write( "4 2 \n" ); document.write( "-12 -2 \n" ); document.write( "equals (4*(-2))-((-12)*2) = -8-(-24) = 16\r \n" ); document.write( "\n" ); document.write( "x = D(x)/D = 16/(-8) = -2 \n" ); document.write( "Determinant of D(y): \n" ); document.write( "1 4 \n" ); document.write( "3 -12 \n" ); document.write( "equals (1*(-12))-(4*3) = -12-12 = -24 \n" ); document.write( "y = D(y)/D = -24/(-8) = 3\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |