The equations are

Rewrite the second equation

Apply subtraction property of equality: Subtract 5y from each side.

Apply commutative property of addition: a + b = b + a.

             (Apply additive inverse property: )

               (Apply additive identity property: )

 Since the coefficients of the x-terms, +1 and -1, 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 6.

                           (Cancel common terms)

                                (Divide: )

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

(Equation 1)

Apply addition property of equality: Add 4 to each side.

           (Apply additive inverse property: )

                  (Apply additive identity property: )

                        (Add: )

Apply multiplication property of equality: Multiply each side by negative one.

                    (Product of two same signs is positive)

                        (Product of two diffirent signs is negative)

The solution is .

The solution is .