The equations are

Multiply the first equation by 2

Now the equation is

                     Equation (1)

Multiply the second equation by 3

Now the equation is

                Equation (2)

Since the coefficients of the y-terms, -6 and -6, are additive inverses,

you can eliminate these terms by adding the equations.

Subtract the equations to eliminate variable y.

    (Write the equations in column form and Subtract)

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

                           (Cancel common terms)

                              (Divide: )

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

    (Equation 1)

                  (Multiply: )

Apply Addition property of equality: Add 28 to each side.

                  (Apply additive inverse property: )

                         (Add: 8 + 28 = 36)

Apply division property of equality: Divide each side by negative 3.

                       (Cancel common terms)

                       (Divide: )

The solution is .

The solution is .