The equations are

Multiply the first equation by 3

Now the equation is

               Equation (1)

Multiply the second equation by 2

Now the equation is

                     Equation (2)

Since the coefficients of the x-terms, -6 and 6, 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 subtraction property of equality: Subtract 55 from each side.

              (Apply additive inverse property: )

                (Subtract: )

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

                   (Cancel common terms)

                     (Divide: )

The solution is .

The solution is .