Algebra 1, 2007

 PAGE: 455 SET: Exercises PROBLEM: 9

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: )

(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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