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)
Responses

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
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Answer 1

The property of equality that justifies the step from

\[
\frac{3z}{2} - 5 = 10
\]

to

\[
\frac{3z}{2} - 5 + 5 = 10 + 5
\]

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 isolates the term \(\frac{3z}{2}\).