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

Division Property of Equality
Division Property of Equality
Addition Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Multiplication Property of Equality
Subtraction Property of Equality

Answer 1

The property of equality that justifies the step shown in the equation is the Addition Property of Equality.

This property states that if you add the same value to both sides of an equation, the two sides remain equal. In your example, you added 5 to both sides of the equation:

\( 3z/2 - 5 + 5 = 10 + 5 \)

This simplifies to:

\( 3z/2 = 15 \)

So, the correct response is Addition Property of Equality.