Question

Consider the sequence of steps to solve the equation:

x - 3
_______ = x + 3
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

The answer is A) Division Property

Explanation:

In step 4 we have:

-2x = 12

So find x, we have to divide both sides of the equation by -2 which is the coefficient of the x:

`(-2x)/(-2)=(12)/(-2)\\x=-6`

Therefore, we used the division property to find out X.