Hi could some one please check this work, it's to solve the following system of linear equations using matrices.

-3x-2y=15

-9x+8y=3

As a matrice

[-3 -2] [x] [15]

[-9 8] [y] [3]

Determinant (-3)*8-(-2)*(-9)=-42

[-8/-42 -2/-42]

[-9/-42 -3/42]

[-4/-21 -2/21]

[-3/14 1/14]

-4/21*15 + -1/21*3=-3

-3/14*15 +1/14*3 =-3

x=-3 y=-3

Many thanks