Elimination Method:

The system of equations are

                                    (Equation 1)

                                  (Equation 2)

Since the coefficients of the y-terms are same and also differ in sign, you can eliminate these terms by adding the equations.Add the equations to eliminate variable y.

Write equations in column form and add the corresponding columns.

The result value is .

Now, find the y value by substitute in either equations.

                                  (Write equation 2)

                               (Substitute )

                                          (Subtract 12 from each side)

                                               (Divide each side by 5)

To check the solution, the ordered pair substitute in original system as follows:

                             (Substitute into equation 1)

                                    (Equation 1 checks)

                          (Substitute into equation 2)

                                  (Equation 2 checks)

The solution is .