Consider the sequence of steps to solve the equation:

Question

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

To identify the property of equality that gets us from Step 3 to Step 4, let's look at the equation in Step 3:

Step 3: \( 3x - 30 = 0 \)

In this step, to isolate \(3x\), we add \(30\) to both sides of the equation:

Step 4: \( 3x = 30 \)

Since we added \(30\) to both sides, the property used here is the Addition Property of Equality.

Thus, the correct answer is:

B Addition Property