Which property of equality is shown below? If:73 − 67 = w Then:73 − 67/x = w/x 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: 73 − 67 = w And the transformed equation: 73 − 67/x = w/x We need to identify which operation is applied to both sides of the original equation to obtain the transformed equation.Identify Operation Used: Identify the operation used. By comparing the original and the transformed equations, we can see that both sides of the original equation have been divided by x. 73 − 67 = w becomes (73 − 67)/x = w/x when divided by x.Determine Property of Equality: Determine the property of equality. Since we have divided both sides of the equation by the same non-zero number x, the property of equality used here is the ＂Division Property of Equality＂.

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Which property of equality is shown below? $\newline$ If: 73 − 67 = w $\newline$ Then: $73 - \frac{67}{x} = \frac{w}{x}$ $\newline$ 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:

73  −  67 = w

\newline

Then:

73 - \frac{67}{x} = \frac{w}{x}

\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: $73 - 67 = w$ $\newline$ And the transformed equation: $73 - \frac{67}{x} = \frac{w}{x}$ $\newline$ We need to identify which operation is applied to both sides of the original equation to obtain the transformed equation.
Identify Operation Used: Identify the operation used. $\newline$ By comparing the original and the transformed equations, we can see that both sides of the original equation have been divided by $x$ . $\newline$ $73 − 67 = w$ becomes $(73 − 67)/x = w/x$ when divided by $x$ .
Determine Property of Equality: Determine the property of equality. $\newline$ Since we have divided both sides of the equation by the same non-zero number $x$ , the property of equality used here is the ＂Division Property of Equality＂.