Algebra 1, 2008

 PAGE: 268 SET: Exercises PROBLEM: 1

Elimination Method:

The equations are

Equation (1)

Equation (2)

Since the coefficients of b-terms are additive inverses, these terms can be

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

According to division property of equality: Divide each side by 3.

(Cancel common terms).

Now, find the b value by substituting in either equation.

(Equation 1).

(Product of two different signs is negative)

(Apply commutative property of addition: )

According to division property of equality: Divide each side by 3.

(Cancel common terms)

(Multiply each side by negative one)

(Product of two same signs is positive)

The solution is .

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