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Which property of equality is shown below?\newlineIf: w − −31=xw  -  -31 = x\newlineThen: w−−31/y=x/yw - -31/y = x/y\newlineChoices:\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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Q. Which property of equality is shown below?\newlineIf: w − −31=xw  -  -31 = x\newlineThen: w−−31/y=x/yw - -31/y = x/y\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality
  1. Analyze Given Expressions: Analyze the given expressions.\newlineIf: w−(−31)=xw - (-31) = x\newlineThen: w−(−31)y=xy\frac{w - (-31)}{y} = \frac{x}{y}\newlineWhich operation is applied to both sides of the equation?\newlineThe operation is division by yy.
  2. Apply Division Operation: Apply the operation to both sides of the equation.\newlinew−(−31)=xw - (-31) = x\newlineDivide both sides by yy.\newlinew−(−31)y=xy\frac{w - (-31)}{y} = \frac{x}{y}
  3. Identify Property Used: Identify the property of equality used.\newlineBy dividing both sides of the equation by yy, the equation remains balanced.\newlineThis is the ＂Division Property of Equality＂.

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