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)

                               (Add: )

The solution of the system of equations are and .