The system of equations are , and .

Write the equations into matrix form , where is coefficient matrix, is variable matrix and is constant matrix.

.

Cramers rule :

Solution of the system of equations , and for.

Co-efficient matrix .

Caluculate the determinant of matrix .

.

Find .

.

Find .

.

Find .

.

The solution of the system of equations is .

Check solution for -values.

, and .

Case (i):

                                  (First equation)

                    (Substitute ,  and )

                               (Multiply)

                                                  (Add: )

Case (ii):

                               (Second equation)

                 (Substitute ,  and )

                            (Multiply)

                                             (Substitute: )

Case (iii):

                                (Second equation)

                  (Substitute ,  and )

                               (Multiply)

                                             (Substitute: )

The solution of the system of equations is .