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

Addition Property of Equality
Addition Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality
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Answer 1

The property of equality that justifies the step in solving the equation

\[ 3z^2 - 5 = 10 \ \]

to

\[ 3z^2 - 5 + 5 = 10 + 5 \]

is the Addition Property of Equality. This property states that if you add the same value to both sides of an equation, the two sides remain equal. In this case, 5 was added to both sides.