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Which property of equality is shown below?\newlineIf: 85=36+c85 = -36 + c\newlineThen: 60+85=60+36+c60 + 85 = 60 + -36 + c\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: 85=36+c85 = -36 + c\newlineThen: 60+85=60+36+c60 + 85 = 60 + -36 + c\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.\newlineWe have the original equation: 85=36+c85 = -36 + c\newlineAnd the modified equation: 60+85=60+(36+c)60 + 85 = 60 + (-36 + c)\newlineIdentify the operation performed on both sides of the original equation.
  2. Identify Operation: Identify the operation.\newlineThe operation performed is the addition of 6060 to both sides of the original equation.\newline85=36+c85 = -36 + c\newline+60+60+60 \quad +60\newline----------------\newline60+85=60+(36+c)60 + 85 = 60 + (-36 + c)
  3. Determine Property: Determine the property of equality used.\newlineSince we added the same number 6060 to both sides of the equation, the property of equality used here is the Addition Property of Equality.

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