solve using cramer's rule

Question

3x+4y=-1
5x-2y=4

Answer 1

First calculate the determinant D of
3 4
5 -2
=3*(-2)-4*5=-26

Replace the first column by the RHS,and calculate determinant D1
-1 4
4 -2
=(-1)(-2)-4*4
=-14

Replace the column with the RHS and calculate determinant D2
3 -1
5 4
=3*4-(-1)*5
=17
x=D1/D=-14/-26=7/13
y=D2/D=17/-26=-17/26