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Which property of equality is shown below?\newlineIf: v+(80)=wv + (-80) = w\newlineThen: v+(80)83=w83v + (-80) - 83 = w - 83\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

Full solution

Q. Which property of equality is shown below?\newlineIf: v+(80)=wv + (-80) = w\newlineThen: v+(80)83=w83v + (-80) - 83 = w - 83\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 Statements: Analyze the given statements.\newlineIf: v+(-80)=wv + (\text{-}80) = w\newlineThen: v+(-80)83=w83v + (\text{-}80) - 83 = w - 83\newlineIdentify the operation performed on both sides of the equation.
  2. Determine Property Used: Determine the property of equality used.\newlineThe operation of subtracting 8383 is performed on both sides of the equation.\newlinev+(80)83=w83v + (–80) – 83 = w – 83\newlineThis operation maintains the balance of the equation.
  3. Match Operation with Property: Match the operation with the correct property of equality. Subtracting a number from both sides of an equation is an application of the Subtraction Property of Equality.

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