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Which property of equality is shown below?\newlineIf: b+c=25b + c = -25\newlineThen: b+cd=25d\frac{b + c}{d} = \frac{-25}{d}\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: b+c=25b + c = -25\newlineThen: b+cd=25d\frac{b + c}{d} = \frac{-25}{d}\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: b+c=25b + c = -25\newlineThen: b+c/d=25/db + c/d = -25/d\newlineIdentify the operation performed on both sides of the equation.
  2. Determine Operation Used: Determine the operation used.\newlineThe operation used is division by dd on both sides of the equation.\newlineb+c=25b + c = -25 becomes b+cd=25d\frac{b + c}{d} = \frac{-25}{d} after dividing both sides by dd.
  3. Identify Property of Equality: Identify the property of equality.\newlineBy dividing both sides of the equation by the same non-zero number dd, the equation remains balanced.\newlineThis is known as the "Division Property of Equality".

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