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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1 answer
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 \(\frac{3z}{2}\).
