Which property of equality is shown below? If:c = b + –86 Then:c/d = b + –86/d Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Given Expressions: Analyze the given expressions. We have the original equation: c = b + (–86) And the transformed equation: c/d = (b + (–86))/d We need to identify which operation is applied to both sides of the original equation to obtain the transformed equation.Identify Operation Used: Identify the operation used. The original equation is divided by 'd' on both sides to get the transformed equation. c = b + (–86) becomes c/d = (b + (–86))/d when both sides are divided by 'd'.Determine Property of Equality: Determine the property of equality. By dividing both sides of the equation by the same non-zero number 'd', the equation remains balanced. This is known as the ＂Division Property of Equality＂.

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Which property of equality is shown below? $\newline$ If: $c = b + (-86)$ $\newline$ Then: $\frac{c}{d} = \frac{b + (-86)}{d}$ $\newline$ 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:

c = b + (-86)

\newline

Then:

\frac{c}{d} = \frac{b + (-86)}{d}

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze Given Expressions: Analyze the given expressions. $\newline$ We have the original equation: $c = b + (-86)$ $\newline$ And the transformed equation: $\frac{c}{d} = \frac{b + (-86)}{d}$ $\newline$ We need to identify which operation is applied to both sides of the original equation to obtain the transformed equation.
Identify Operation Used: Identify the operation used. $\newline$ The original equation is divided by $d$ on both sides to get the transformed equation. $\newline$ $c = b + (\text{-}86)$ becomes $\frac{c}{d} = \frac{b + (\text{-}86)}{d}$ when both sides are divided by $d$ .
Determine Property of Equality: Determine the property of equality. $\newline$ By dividing both sides of the equation by the same non-zero number $d$ , the equation remains balanced. $\newline$ This is known as the ＂Division Property of Equality＂.