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

3z/2−5=10

3z/2−5+5=10+5

3z/2=15

Division Property of Equality
Division Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Addition Property of Equality
Addition Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality

1 answer

The step in the equation:

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

is justified by 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. Thus, in this case, adding 5 to both sides helps isolate the term on the left side.

So, the correct answer is:

Addition Property of Equality.