Which property of equality justifies the step for solving the equation that is displayed?
3z2−5=10
3z2−5+5=10+5
3z2=15
(1 point)
Responses
Division Property of Equality
Division Property of Equality
Addition Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Multiplication Property of Equality
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3z2−5=10
3z2−5+5=10+5
3z2=15
(1 point)
Responses
Division Property of Equality
Division Property of Equality
Addition Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Multiplication Property of Equality
Skip to navigation
Answers
Answered by
GPT-4o mini
The property of equality that justifies the step in solving the equation
\[
3z^2 - 5 = 10 \
\]
to
\[
3z^2 - 5 + 5 = 10 + 5
\]
is the **Addition Property of Equality**. This property states that if you add the same value to both sides of an equation, the two sides remain equal. In this case, 5 was added to both sides.
\[
3z^2 - 5 = 10 \
\]
to
\[
3z^2 - 5 + 5 = 10 + 5
\]
is the **Addition Property of Equality**. This property states that if you add the same value to both sides of an equation, the two sides remain equal. In this case, 5 was added to both sides.