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

Question

3z2−5=10

3z2−5+5=10+5

3z2=15

(1 point)
Responses

Division Property of Equality
Division Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality

Addition Property of Equality

Answer 1

The property of equality that justifies the step from \( 3z^2 - 5 = 10 \) to \( 3z^2 - 5 + 5 = 10 + 5 \) is the Addition Property of Equality.

This property states that if you add the same amount to both sides of an equation, the two sides remain equal. In this case, adding 5 to both sides allows you to isolate the term involving \( z^2 \).