The system of equations are

Write the equations into matrix form .

Where is coefficient matrix, is variable matrix and is constant matrix.

.

Inverse of a matrix: .

Here and .

.

.

Rewrite the equation.

Find .

.

Check the solution for -values.

The equations are   and .

Case (i):

                     (First equation)

             (Substitute and )

                                (Multiply)

                                      (Add: )

Case (ii):

                (Second equation)

        (Substitute and )

                        (Multiply)

                             (Add: )

The solution of the system of equations are and .