Question

onsider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 6? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition

Answer 1

Answer:Additive Identity Property

Explanation:

Answer 2

3(x - 4) + 5x = 9x - 36 Given

(3)(x) + (3)(-4) + 5x = 9x - 36 Distributive Property

3x - 12 + 5x = 9x - 36

(3x + 5x) - 12 = 9x - 36 Combine like terms

8x - 12 = 9x - 36

8x - 8x - 12 = 9x - 8x - 36 Subtraction Property of Equality

0 - 12 = x - 36 Additive Identity Property

-12 = x - 36

-12 + 36 = x - 36 + 36 Addition Property of Equality

24 = x

Answer: Additive Identity Property