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The equations are

Equation (1)

Equation (2)

Multiply the first equation by 4.

(Distributive property: )

(Multiply: )

(Multiply: )

Equation (3)

Since the coefficients of the *y*-terms are additive inverses, *y*-terms can be

eliminated by adding the equations 2 and 3.

Write the equations in column form and add the corresponding columns.

Apply division property of equality: if *a* = *b* then

(Divide each side by negative 3)

(Cancel commen terms)

(Divide: )

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

(Equation 1)

(Multiply: )

(Subtract 4 from each side)

(Apply commutative proparty:* a+b=b+a*)

(Apply additive inverse proparty: )

(Apply additive identity proparty: )

(Subtract: )

(Multiply each side by negative one)

(Product of two same signs is positive)

(Product of two different signs is negative)

The solution is ,.

The solution is .

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