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

3z2−5=10

3z2−5+5=10+5

3z2=15

(1 point)
Responses

Subtraction Property of Equality
Subtraction Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Division Property of Equality
Division Property of Equality

Addition Property of Equality

1 answer

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 equality is maintained.

So the correct response is:

Addition Property of Equality