SOLUTION: If I use the Cramers rule to solve the equation, how do I solve the problem? 5x+3y=7 4x+5y=3

Question 176600: If I use the Cramers rule to solve the equation, how do I solve the problem?
5x+3y=7
4x+5y=3
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
Cramers rule takes the format of
:
lets call 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.
:

= where x and y are your unknowns.
:
det A(1st column replaced)= 7(5)-3(3)= 35-9=26
det A ==25-12=13
:
x= det A(1st column replaced)/det A=26/13=
:
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
:
det A(2nd column replaced)= 5(3)-7(4)=15-28=-13
:
y= det A(2nd column replaced)/det a=-13/13=
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