Elimination Method:

The system of equations are

                                      (Equation 1)

                                  (Equation 2)

Since the coefficients of the x-terms are same, you can eliminate these terms by subtract the equations.subtract the equations to eliminate variable x.

Write 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 10 from each side)

                                               (Divide each side by 2)

The system of equations has one solution , so it is consistent and it is match with the graph of label (c).