Which property of equality is shown below? If:–97 − c = –15 Then:–97 − c − –96 = –15 − –96 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. If: –97 − c = –15 Then: –97 − c − (–96) = –15 − (–96) Identify the operation performed on both sides of the equation.Determine Operation Used: Determine the operation used. The operation used is subtraction of (–96) from both sides of the equation. In essence, this is the same as adding 96 to both sides because subtracting a negative number is equivalent to adding its positive counterpart.Identify Property of Equality: Identify the property of equality. Since we are effectively adding 96 to both sides of the equation, the property of equality used here is the Addition Property of Equality.

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: $-97 - c = -15$ $\newline$ Then: $-97 - c - (-96) = -15 - (-96)$ $\newline$ 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:

-97 - c = -15

\newline

Then:

-97 - c - (-96) = -15 - (-96)

\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. $\newline$ If: $-97 - c = -15$ $\newline$ Then: $-97 - c - (-96) = -15 - (-96)$ $\newline$ Identify the operation performed on both sides of the equation.
Determine Operation Used: Determine the operation used. $\newline$ The operation used is subtraction of $(-96)$ from both sides of the equation. In essence, this is the same as adding $96$ to both sides because subtracting a negative number is equivalent to adding its positive counterpart.
Identify Property of Equality: Identify the property of equality. $\newline$ Since we are effectively adding $96$ to both sides of the equation, the property of equality used here is the Addition Property of Equality.