Which property of equality is shown below? If:x + w = 6 Then:x + w − y = 6 − 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. The original equation is x + w = 6. The second equation is x + w - y = 6 - y. We need to identify which operation is applied to both sides of the original equation to obtain the second equation.Identify Operation: Identify the operation used. By comparing the two equations, we can see that 'y' is subtracted from both sides of the original equation. This means that the operation used is subtraction.Determine Property: Determine the property of equality. Since the same value 'y' is subtracted from both sides of the equation, the property of equality used here is 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.

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Which property of equality is shown below? $\newline$ If: $x + w = 6$ $\newline$ Then: $x + w - y = 6 - y$ $\newline$ 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

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Math Problems

Algebra 1

Properties of equality

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Q. Which property of equality is shown below?

\newline

If:

x + w = 6

\newline

Then:

x + w - y = 6 - 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. $\newline$ The original equation is $x + w = 6$ . The second equation is $x + w - y = 6 - y$ . We need to identify which operation is applied to both sides of the original equation to obtain the second equation.
Identify Operation: Identify the operation used. $\newline$ By comparing the two equations, we can see that ' $y$ ' is subtracted from both sides of the original equation. This means that the operation used is subtraction.
Determine Property: Determine the property of equality. $\newline$ Since the same value ' $y$ ' is subtracted from both sides of the equation, the property of equality used here is 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.