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)

                                               (Substitute: )

Case (ii):

                           (Second equation)

              (Substitute ,  and )

                         (Multiply)

                                         (Substitute: )

Case (iii):

                            (Third equation)

              (Substitute ,  and )

                              (Multiply)

                                              (Substitute: )

The solution of the system of equations is .