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):

                                (Third equation)

                     (Substitute ,  and )

                                  (Multiply)

                                                (Substitute: )

The solution of the system of equations is .