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

Question

Mathematics

Makaila Whitney

22 February, 17:37

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

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Answers (2)

Know the Answer?

Tommy Simon · Answer 1

Tommy Simon 22 February, 19:20

0

Answer:Additive Identity Property

Mario Pierce · 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