Question

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?

Answer 1

Answer:

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