Question

Consider the sequence of steps to solve the equation:

x - 3
3
= x + 3

Step 1 ⇒ x - 3 = 3(x + 3)
Step 2 ⇒ x - 3 = 3x + 9
Step 3 ⇒ x = 3x + 12
Step 4 ⇒ -2x = 12
Step 5 ⇒ x = -6

Identify the property of equality which yields Step 5.
A) Division Property
B) Addition Property
C) Subtraction Property
D) Multiplication Property

Answer 1

D) Multiplication Property

Explanation:

Answer 2

A) Division Property

Explanation:

In step 5, the equation of step 4 is divided on both sides by -2. The division property says you can do that without changing the value of the variable(s).