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)

                                (Subtract: )

Case (ii):

                 (Second equation)

      (Substitute and )

                     (Multiply)

                         (Subtract: )

The solution of the system of equations are and .