Which property of equality is shown below? If:33 = –36 − b Then:33/59 = –36 − b/59 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze expressions: Analyze the given expressions to identify the operation performed. The original equation is 33 = –36 − b. The operation performed on both sides of the equation is division by 59, resulting in the new equation 33/59 = (–36 − b)/59.Identify operation: Identify the property of equality used. Since both sides of the original equation are divided by the same number (59), the property of equality being used is the Division Property of Equality. This property states that if you divide both sides of an equation by the same nonzero 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: $33 = -36 - b$ $\newline$ Then: $\frac{33}{59} = \frac{-36 - b}{59}$ $\newline$ 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:

33 = -36 - b

\newline

Then:

\frac{33}{59} = \frac{-36 - b}{59}

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze expressions: Analyze the given expressions to identify the operation performed. $\newline$ The original equation is $33 = -36 - b$ . The operation performed on both sides of the equation is division by $59$ , resulting in the new equation $\frac{33}{59} = \frac{(-36 - b)}{59}$ .
Identify operation: Identify the property of equality used. $\newline$ Since both sides of the original equation are divided by the same number $59$ , the property of equality being used is the Division Property of Equality. This property states that if you divide both sides of an equation by the same nonzero number, the two sides remain equal.