The equations are

Multiply the first equation by 2

Now the equation is

Equation (1)

Multiply the second equation by 3

Now the equation is

Equation (2)

Since the coefficients of the *y*-terms, -6 and -6, are additive inverses,

you can eliminate these terms by adding the equations.

Subtract the equations to eliminate variable *y*.

(Write the equations in column form and Subtract)

Apply division property of equality: Divide each side by negative 7.

(Cancel common terms)

(Divide: )

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

(Equation 1)

(Multiply: )

Apply Addition property of equality: Add 28 to each side.

(Apply additive inverse property: )

(Add: 8 + 28 = 36)

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

(Cancel common terms)

(Divide: )

The solution is .

The solution is .

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