The system equations are

                   Equation (1)

                 Equation (2)

The matrix  equation form is .

When, .

Therefore solution matrix is .

First find the determinant of  A = ad bc.

.

Therefore A^-1 exists.

The inverse of A is .

Substitute a = 1, b = 2, c = 3, d = 2 and ad bc = .

.

Substitute the values of in the solution matrix .

Multiply each side by .

The solution is .