Question

Determining Inverse Operation Steps
The linear equation was solved using these steps.

Linear equation: 1
3
(12x + 15) = 7

Step 1: 4x + 5 = 7

Step 2: 4x = 2

Step 3: x = 1
2

The property that was used in step 1 was the
.
The property that was used in step 2 was the
.
The property that was used in step 3 was the

Answer 1

Step 1: Distributive Property (1/3 · (12x + 15) → 4x + 5).
Step 2: Subtraction Property of Equality (subtract 5 from both sides: 4x + 5 − 5 = 7 − 5 → 4x = 2).
Step 3: Division Property of Equality (divide both sides by 4: x = 2/4 = 1/2).