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Which property of equality is shown below?\newlineIf: 36=yx-36 = y - x\newlineThen: 3663=yx63-\frac{36}{63} = \frac{y - x}{63}\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=yx-36 = y - x\newlineThen: 3663=yx63-\frac{36}{63} = \frac{y - x}{63}\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.\newlineIf: 36=yx-36 = y - x\newlineThen: 3663=yx63-\frac{36}{63} = \frac{y - x}{63}\newlineBoth sides of the equation are divided by 6363.
  2. Corresponding Property: Determine which property of equality corresponds to the operation identified in step 11.\newlineDividing both sides of an equation by the same non-zero number does not change the equality, which is known as the "Division Property of Equality."

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