Algebra 1, 2011
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 PAGE: 452 SET: Exercises PROBLEM: 1

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 in either equation to find the value of x.

(Equation 1)

(Multiply: )

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

(Subtract: )

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

(Cancel common terms)

(Divide: )

The solution is .

The solution is .

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