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

displayed?
$\frac {3z}{2}-5=10$
$\frac {3z}{2}-5+5=10+5$
$\frac {3z}{2}=15$
(1 point)
Addition Property of Equality
Subtraction Property of Equality
Division Property of Equality
Multiplication Property of Equality

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
11 days ago

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 of the equation is what justifies the step.