Consider this example my teacher provided:

9. Solve 2 2 8 3x + Y x by using the inverse of the coefficient matrix Rewrite the system in a matrix format 3 1 2 3 -8 1 3 a b d 1 [10 1 ad cb 1 d c -b a 3 1 2 1 -3 1 1 2 Find the inverse of the coefficient matrix 2 Left multiply both sides by the inverse 1 1 -10 5 20 coefficient matrix 1 2+3 3+2 Y -2 4 5 24 + -2 4