Question

Consider the sequence of steps to solve the equation:

5(x - 3) =
7x
2


Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10

Identify the property of equality which gets us from Step 3 to Step 4.
A) Division Property
B) Addition Property
C) Subtraction Property
D) Multiplication Property

Answer 1

Addition property.

Explanation:

From step 3 to step 4, you are adding 30 to both sides of the equation. This makes the property addition.

Answer 2

Addition Property

Explanation:

Because 3x-30=0