The equations are

Multiply the first equation by 8

Now the equation is

            Equation (1)

Multiply the second equation by 12

Now the equation is

         Equation (2)

Since the coefficients of the x-terms, -96 and 96, are additive inverses,

you can eliminate these terms by adding the equations.

Add the equations to eliminate variable x.

    (Write the equations in column form and add)

Apply division property of equality: Divide each side by 7.

                      (Cancel common terms)

                              (Divide: )

Now Substitute in either equation to find the value of x.

    (Equation 1)

            (Multiply:)

Apply addition property of equality: Add 14 to each side.

           (Apply additive inverse property: )

                      (Subtract: )

Apply division property of equality: Divide each side by 12.

                             (Cancel common terms)

The solution is (1, 2).

The solution is (x, y) = (1, 2).