Which property of equality justifies the step for solving the equation that is displayed?

Question

3z/2 −5=10

3z/2 −5+5=10+5

3z/2 =15

(1 point)
Responses

Addition Property of Equality
Addition Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality

Division Property of Equality

Answer 1

The step from \( 3z/2 - 5 = 10 \) to \( 3z/2 - 5 + 5 = 10 + 5 \) is justified by the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the two sides remain equal. Hence, the correct response is:

Addition Property of Equality.