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Which property of equality is shown below?\newlineIf: −87=v−31-87 = v - 31\newlineThen: −87−w=v−31−w-87 - w = v - 31 - w\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: −87=v−31-87 = v - 31\newlineThen: −87−w=v−31−w-87 - w = v - 31 - w\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 Equations: Analyze the given equations.\newlineThe original equation is −87=v−31-87 = v - 31. Then, a new equation is formed by subtracting ww from both sides: −87−w=v−31−w-87 - w = v - 31 - w.\newlineWhich operation is used on both sides?\newlineSubtraction is used because ww is subtracted from both sides of the original equation.
  2. Identify Property: Identify the property of equality used.\newlineBy subtracting ww from both sides, the equation remains balanced. This action demonstrates the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.

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