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Which property of equality is shown below?\newlineIf: −97−c=−15-97 - c = -15\newlineThen: −97−c−(−96)=−15−(−96)-97 - c - (-96) = -15 - (-96)\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: −97−c=−15-97 - c = -15\newlineThen: −97−c−(−96)=−15−(−96)-97 - c - (-96) = -15 - (-96)\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.\newlineIf: −97−c=−15-97 - c = -15\newlineThen: −97−c−(−96)=−15−(−96)-97 - c - (-96) = -15 - (-96)\newlineIdentify the operation performed on both sides of the equation.
  2. Determine Operation Used: Determine the operation used.\newlineThe operation used is subtraction of (−96)(-96) from both sides of the equation. In essence, this is the same as adding 9696 to both sides because subtracting a negative number is equivalent to adding its positive counterpart.
  3. Identify Property of Equality: Identify the property of equality.\newlineSince we are effectively adding 9696 to both sides of the equation, the property of equality used here is the Addition Property of Equality.

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