Question

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 (1 point)ResponsesMultiplication Property of EqualityMultiplication Property of EqualityAddition Property of Equality Addition Property of Equality Division Property of Equality Division Property of Equality Subtraction Property of Equality Subtraction Property of Equality.

Answer 1

The property of equality that justifies the step from \( 3z/2 - 5 = 10 \) to \( 3z/2 - 5 + 5 = 10 + 5 \) is the **Addition Property of Equality**. This property states that if you add the same number to both sides of an equation, the two sides remain equal. In this case, adding 5 to both sides of the equation solves for \( 3z/2 \).