Which property of equality is shown below? If:79 · –82 = c Then:79 · –82/d = c/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: 79 · –82 = c And the transformed equation: 79 · –82/d = c/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. By comparing the original and the transformed equations, we can see that both sides of the original equation have been divided by 'd'. 79 · –82 = c becomes 79 · –82/d = c/d after the division.Determine Property of Equality Used: Determine the property of equality used. Since we have divided both sides of the equation by the same non-zero number 'd', we have used the ＂Division Property of Equality＂. This property states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which property of equality is shown below? $\newline$ If: $79 \cdot -82 = c$ $\newline$ Then: $\frac{79 \cdot -82}{d} = \frac{c}{d}$ $\newline$ 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

View step-by-step help

Home

Math Problems

Algebra 1

Properties of equality

Full solution

Q. Which property of equality is shown below?

\newline

If:

79 \cdot -82 = c

\newline

Then:

\frac{79 \cdot -82}{d} = \frac{c}{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: $79 \cdot -82 = c$ $\newline$ And the transformed equation: $\frac{79 \cdot -82}{d} = \frac{c}{d}$ $\newline$ 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. $\newline$ By comparing the original and the transformed equations, we can see that both sides of the original equation have been divided by $d$ . $\newline$ $79 \cdot (–82) = c$ becomes $\frac{79 \cdot (–82)}{d} = \frac{c}{d}$ after the division.
Determine Property of Equality Used: Determine the property of equality used. $\newline$ Since we have divided both sides of the equation by the same non-zero number $d$ , we have used the ＂Division Property of Equality＂. This property states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.