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?

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

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x