Which property of equality is shown below? If:y = x + –78 Then:y − 93 = x + –78 − 93 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Equations: Analyze the given equations. We have the original equation: y = x + (–78) And the modified equation: y – 93 = x + (–78) – 93 We need to identify which operation is applied to both sides of the original equation to obtain the modified equation.Identify Operation: Identify the operation used. By comparing the original and modified equations, we can see that 93 is subtracted from both sides of the original equation. y = x + (–78) Subtract 93 from both sides. y – 93 = x + (–78) – 93Determine Property: Determine the property of equality used. Since we subtracted the same number, 93, from both sides of the equation, the property of equality that is being used is the Subtraction Property of Equality.

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Which property of equality is shown below? $\newline$ If: $y = x + (-78)$ $\newline$ Then: $y - 93 = x + (-78) - 93$ $\newline$ Choices: $\newline$ (A) Addition Property of Equality $\newline$ (B) Subtraction Property of Equality $\newline$ (C) Multiplication Property of Equality $\newline$ (D) Division Property of Equality

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Math Problems

Algebra 1

Properties of equality

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Q. Which property of equality is shown below?

\newline

If:

y = x + (-78)

\newline

Then:

y - 93 = x + (-78) - 93

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze Equations: Analyze the given equations. $\newline$ We have the original equation: $y = x + (–78)$ $\newline$ And the modified equation: $y – 93 = x + (–78) – 93$ $\newline$ We need to identify which operation is applied to both sides of the original equation to obtain the modified equation.
Identify Operation: Identify the operation used. $\newline$ By comparing the original and modified equations, we can see that $93$ is subtracted from both sides of the original equation. $\newline$ $y = x + (–78)$ $\newline$ Subtract $93$ from both sides. $\newline$ $y – 93 = x + (–78) – 93$
Determine Property: Determine the property of equality used. $\newline$ Since we subtracted the same number, $93$ , from both sides of the equation, the property of equality that is being used is the Subtraction Property of Equality.