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

A) Division Property of Equality

B) Addition Property of Equality

C) Subtraction Property of Equality

D) Multiplication Property of Equality

Answer 1

The step from the equation $3z/2-5=10$ to $3z/2-5+5=10+5$ is justified by the B) Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the two sides remain equal. In this case, 5 is added to both sides of the equation.