Question 176600
Cramers rule takes the format of
:
lets call {{{(matrix(2,2,5,3,4,5))}}} 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. 
:
{{{(matrix(2,2,5,3,4,5))}}}{{{(matrix(2,1,x,y))}}}={{{(matrix(2,1,7,3))}}} where x and y are your unknowns.
:
det A(1st column replaced){{{(matrix(2,2,7,3,3,5))}}}= 7(5)-3(3)= 35-9=26
det A ={{{(matrix(2,2,5,3,4,5))}}}=25-12=13
:
x= det A(1st column replaced)/det A=26/13={{{highlight(2)}}}
:
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){{{(matrix(2,2,5,7,4,3))}}}= 5(3)-7(4)=15-28=-13
:
y= det A(2nd column replaced)/det a=-13/13={{{highlight(-1)}}}