The equations are

Multiply the first equation by 6

Now the equation is

             Equation (1)

Multiply the second equation by 9

Now the equation is

        Equation (2)

Since the coefficients of the x-terms, +54 and +54, 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 negative 105.

                        (Cancel common terms)

                               (Divide: )

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

    (Equation 1)

              (Multiply: )

Apply addition property of equality: Add 6 to each side.

                (Apply additive inverse property: )

                       (Add: 39 + 6 = 45)

Apply division property of equality: Divide each side by 9.

                   (Cancel common terms)

                        (Divide: )

The solution is .

The solution is .