Question

22 PIONTS!! 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

A. Division Property of Equality

B. Addition Property of Equality

C. Subtraction Property of Equality

D. Multiplication Property of Equality

Answer 1

B. Addition Property of Equality.

Explanation:

3z/2 - 5 = 10, the step shown is adding 5 to both sides of the equation:

3z/2 - 5 + 5 = 10 + 5

By adding 5 to both sides, we are maintaining the equality of the equation. This step allows us to isolate the variable term, 3z/2, on one side of the equation. Therefore, the answer is B. Addition Property of Equality.