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 1.
A) Division Property
B) Addition Property
C) Subtraction Property
D) Multiplication Property

Answer 1

D. Multiplication Property

Answer 2

I'm assuming this question is asking the process which yields step 1 to step 2, because step 1 just shows the equation, while step 2 actually shows the answer choice D, which is the multiplication property. 3(x + 3) is multiplied as 3 x 'x' and 3 x 3 which comes out to 3x + 9.