Algebra 2, 2008
43

 PAGE: 135 SET: Exercises PROBLEM: 43

Solve the system of equation using Substitution Method:

The equations are

Equation (1)

Equation (2)

Solve the equation (1) for y.

Apply subtraction property of equality: if a = b, then .

(Subtract 4x from each side)

Apply commutative property of addition: .

(Multiply each side by negative one)

(Product of two same signs is positive)

Substitute    in Equation (2).

Distribute terms using distributive property: .

(Simplify)

Apply subtraction property of equality: if a = b, then .

(Subtract 40 from each side)

(Subtract: )

Apply division property of equality: if a = b, then.

(Divide each side by 9)

(Cancel common terms)

(Divide: )

Substitute in equation .

Apply addition property of equality: if a = b, then .

(Add: 13 + 3 = 16)

Apply division property of equality: if a = b, then.

(Divide each side by 2)

(Cancel common terms)

(Divide: )

The solution is.

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