The equations are

Rewrite the second equation

   (Subtract 5x from each side) \ \

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

                     (Apply additive inverse property: )

\ \

Multiply the first equation by 5

Now the equation is

                    Equation (1)

Multiply the second equation by 3 \ \

Now the equation is

                Equation (2)

Since the coefficients of the x-terms, +15 and -15, 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 8.

                          (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 35 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 .