Use the following problem to answer the question below: Given: 3 (x - 4) = 33 Prove: x = 15 Statements Reasons 3 (x - 4) = 33 Given 3x - 12 = 33 A 3x - 12 + 12 = 33 + 12 B 3x + 0 = 45 C 3x = 45 D x = 15 Division Property of Equality What is the reason for C?

Question

Mathematics

Dahlia Tanner

14 February, 01:13

Use the following problem to answer the question below: Given: 3 (x - 4) = 33 Prove: x = 15 Statements Reasons 3 (x - 4) = 33 Given 3x - 12 = 33 A 3x - 12 + 12 = 33 + 12 B 3x + 0 = 45 C 3x = 45 D x = 15 Division Property of Equality What is the reason for C?

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Lewis David · Answer 1

Inverse Property of Addition (Reason C)

Step-by-step explanation:

Given: 3 (x - 4) = 33

Prove: x = 15

Statements Reasons

1. 3 (x - 4) = 33 Given

2. 3x - 12 = 33 Distributive Property (Reason A)

3. 3x - 12 + 12 = 33 + 12 Addition Property of Equality (Reason B)

4. 3x + 0 = 45 Inverse Property of Addition (Reason C)

5. 3x = 45 Zero Addition Property (Reason D)

6. x = 15 Division Property of Equality