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Which property of equality is shown below?\newlineIf: y=x+13y = x + 13\newlineThen: y+30=x+13+30y + 30 = x + 13 + 30\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: y=x+13y = x + 13\newlineThen: y+30=x+13+30y + 30 = x + 13 + 30\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 Equations: Analyze the given equations.\newlineWe have the original equation: y=x+13y = x + 13\newlineAnd the modified equation: y+30=x+13+30y + 30 = x + 13 + 30\newlineWe need to identify which operation is applied to both sides of the original equation.
  2. Identify Operation: Identify the operation used.\newlineBy comparing the original and modified equations, we can see that 3030 is added to both sides of the original equation.\newliney=x+13y = x + 13\newliney+30=x+13+30y + 30 = x + 13 + 30
  3. Determine Property: Determine the property of equality used.\newlineSince we are adding the same number 3030 to both sides of the equation, the property of equality being used is the Addition Property of Equality.

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