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Which property of equality is shown below?\newlineIf: 36=−9x36 = -9x\newlineThen: 36−15=−9x−15\frac{36}{-15} = \frac{-9x}{-15}\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: 36=−9x36 = -9x\newlineThen: 36−15=−9x−15\frac{36}{-15} = \frac{-9x}{-15}\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. Identify Operation: Identify the operation performed on both sides of the equation.\newlineThe given equations are:\newlineIf: 36=−9x36 = -9x\newlineThen: 36−15=−9x−15\frac{36}{-15} = \frac{-9x}{-15}\newlineWe can see that both sides of the equation are being divided by −15-15.
  2. Property of Equality: Determine which property of equality corresponds to the operation identified in Step 11.\newlineSince we are dividing both sides of the equation by the same number (−15-15), we are using the Division Property of Equality. This property states that if you divide both sides of an equation by the same nonzero number, the two sides remain equal.

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