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Which property of equality is shown below?\newlineIf: t+(11)=ut + (-11) = u\newlineThen: t+1150=u50t + \frac{-11}{50} = \frac{u}{50}\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

Full solution

Q. Which property of equality is shown below?\newlineIf: t+(11)=ut + (-11) = u\newlineThen: t+1150=u50t + \frac{-11}{50} = \frac{u}{50}\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: Analyze the given expressions to identify the operation performed.\newlineThe original equation is t+(-11)=ut + (\text{-}11) = u. The next equation is t+(-11)50=u50\frac{t + (\text{-}11)}{50} = \frac{u}{50}. Here, both sides of the original equation are divided by 5050.
  2. Property of Equality: Determine which property of equality corresponds to the operation identified in Step 11.\newlineSince both sides of the equation are being divided by the same number 5050, this action preserves the equality of the two sides. This is known as the "Division Property of Equality."

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