Elimination Method:

The system of equations are

                                      (Equation 1)

                                      (Equation 2)

Neither variable has a common coefficient.The coefficient  of the x - variables are 3 and 2 and their least common multiply is 6, so multiply each equation by the values 3 and 2 that will make the x - coefficient 6.

Add the equations to eliminate x - variable.

Write the equations in column form and add the corresponding columns.

The result value is .

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

                                      (Write equation 1)

                                  (Substitute )

                                          (Subtract 55 from each side)

                                            (Divide each side by 3)

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 .