Which property of equality is shown below? If:70 = w + x Then:70 − y = w + x − y 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. We have the initial equation: 70 = w + x And the resulting equation after a certain operation: 70 - y = w + x - y We need to identify which operation was applied to both sides of the initial equation.Identify Operation: Identify the operation used. By comparing the initial and resulting equations, we can see that 'y' was subtracted from both sides of the initial equation. Initial equation: 70 = w + x Operation: Subtract 'y' from both sides Resulting equation: 70 - y = w + x - yDetermine Property: Determine the property of equality used. Since we subtracted the same value 'y' from both sides of the equation, we used the Subtraction Property of Equality. This property states that if you subtract the same number from both sides of an equation, 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: $70 = w + x$ $\newline$ Then: $70 - y = w + x - y$ $\newline$ 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:

70 = w + x

\newline

Then:

70 - y = w + x - y

\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. $\newline$ We have the initial equation: $70 = w + x$ $\newline$ And the resulting equation after a certain operation: $70 - y = w + x - y$ $\newline$ We need to identify which operation was applied to both sides of the initial equation.
Identify Operation: Identify the operation used. $\newline$ By comparing the initial and resulting equations, we can see that $y$ was subtracted from both sides of the initial equation. $\newline$ Initial equation: $70 = w + x$ $\newline$ Operation: Subtract $y$ from both sides $\newline$ Resulting equation: $70 - y = w + x - y$
Determine Property: Determine the property of equality used. $\newline$ Since we subtracted the same value ' $y$ ' from both sides of the equation, we used the Subtraction Property of Equality. This property states that if you subtract the same number from both sides of an equation, the two sides remain equal.