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Which property of equality is shown below?\newlineIf: u=51+vu = 51 + v\newlineThen: u−w=51+v−wu - w = 51 + v - w\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: u=51+vu = 51 + v\newlineThen: u−w=51+v−wu - w = 51 + v - w\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 initial equation: u=51+vu = 51 + v\newlineAnd the transformed equation: u−w=51+v−wu - w = 51 + v - w\newlineWe need to identify which operation is applied to both sides of the initial equation to obtain the transformed equation.
  2. Identify Operation: Identify the operation used.\newlineBy comparing the initial and transformed equations, we can see that 'ww' is subtracted from both sides of the initial equation.\newlineInitial equation: u=51+vu = 51 + v\newlineTransformed equation: u−w=51+v−wu - w = 51 + v - w
  3. Determine Property: Determine the property of equality.\newlineSince we subtracted 'ww' from both sides of the equation, we used the Subtraction Property of Equality. This property states that if you subtract the same number from both sides of an equation, the two sides remain equal.

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