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.
Responses
A Division Property
B Addition Property
C Subtraction Property
D Multiplication Property

1 answer

The property of equality that gets us from Step 3 to Step 4 is the Addition Property.

In Step 3, the equation is \(3x - 30 = 0\). To isolate \(3x\), we add 30 to both sides, resulting in \(3x = 30\) in Step 4.

So the correct answer is B Addition Property.