document.write( "Question 176600: If I use the Cramers rule to solve the equation, how do I solve the problem?\r
\n" ); document.write( "\n" ); document.write( "5x+3y=7
\n" ); document.write( "4x+5y=3
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Algebra.Com's Answer #131666 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
Cramers rule takes the format of
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\n" ); document.write( "lets call \"%28matrix%282%2C2%2C5%2C3%2C4%2C5%29%29\" matrix A. you find x by taking the determinant of matrix A(with the first column replaced by the answer matrix) divided by det of matrix A.
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\n" ); document.write( "\"%28matrix%282%2C2%2C5%2C3%2C4%2C5%29%29\"\"%28matrix%282%2C1%2Cx%2Cy%29%29\"=\"%28matrix%282%2C1%2C7%2C3%29%29\" where x and y are your unknowns.
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\n" ); document.write( "det A(1st column replaced)\"%28matrix%282%2C2%2C7%2C3%2C3%2C5%29%29\"= 7(5)-3(3)= 35-9=26
\n" ); document.write( "det A =\"%28matrix%282%2C2%2C5%2C3%2C4%2C5%29%29\"=25-12=13
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\n" ); document.write( "x= det A(1st column replaced)/det A=26/13=\"highlight%282%29\"
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\n" ); document.write( "you find y by taking the determinant of Matrix A(with the 2nd column replace by the answer matrix) divided by det of matrix A
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\n" ); document.write( "det A(2nd column replaced)\"%28matrix%282%2C2%2C5%2C7%2C4%2C3%29%29\"= 5(3)-7(4)=15-28=-13
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\n" ); document.write( "y= det A(2nd column replaced)/det a=-13/13=\"highlight%28-1%29\"
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