The equations are

Multiply the second equation by 3

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 for y  in either equation to find the value of x.

    (Equation 1)

                     (Multiply: )

Apply subtraction property of equality: Subtract 4 from each side.

                    (Apply additive inverse property: )

                       (Subtract: )

Apply division property of equality: Divide each side by 6.

                        (Cancel common terms)

                        (Divide: )

The solution is .

The solution is .