Which property of equality is shown below? If:84 + –79 = b Then:84 + –79 − c = b − c 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: 84 + (–79) = b And the modified equation: 84 + (–79) – c = b – c We need to identify which operation is applied to both sides of the original equation.Identify Operation Used: Identify the operation used. By comparing the original and modified equations, we can see that 'c' is subtracted from both sides of the original equation. 84 + (–79) = b becomes 84 + (–79) – c = b – c after subtracting 'c' from both sides.Determine Property of Equality: Determine the property of equality. Since the same value 'c' is subtracted from both sides of the equation, the property of equality used here is the Subtraction 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: $84 + (-79) = b$ $\newline$ Then: $84 + (-79) - c = b - c$ $\newline$ 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:

84 + (-79) = b

\newline

Then:

84 + (-79) - c = b - c

\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: $84 + (–79) = b$ $\newline$ And the modified equation: $84 + (–79) – c = b – c$ $\newline$ We need to identify which operation is applied to both sides of the original equation.
Identify Operation Used: Identify the operation used. $\newline$ By comparing the original and modified equations, we can see that ' $c$ ' is subtracted from both sides of the original equation. $\newline$ $84 + (–79) = b$ becomes $84 + (–79) – c = b – c$ after subtracting ' $c$ ' from both sides.
Determine Property of Equality: Determine the property of equality. $\newline$ Since the same value ' extit{c}' is subtracted from both sides of the equation, the property of equality used here is the Subtraction Property of Equality.