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Which property of equality is shown below?\newlineIf: f+(−10)=−37f + (-10) = -37\newlineThen: (f+(−10))⋅76=−37⋅76(f + (-10)) \cdot 76 = -37 \cdot 76\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: f+(−10)=−37f + (-10) = -37\newlineThen: (f+(−10))⋅76=−37⋅76(f + (-10)) \cdot 76 = -37 \cdot 76\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 applied to both sides of the equation.\newlineThe given equations are:\newlineIf: f+(-10)=-37f + (\text{-}10) = \text{-}37\newlineThen: (f+(-10))⋅76=(-37)⋅76(f + (\text{-}10)) \cdot 76 = (\text{-}37) \cdot 76\newlineWe can see that both sides of the original equation are being multiplied by 7676.
  2. Property of Equality: Determine which property of equality corresponds to the operation identified in Step 11.\newlineSince we are multiplying both sides of the equation by the same number 7676, we are using the Multiplication Property of Equality. This property states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.

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