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Which property of equality is shown below?\newlineIf: 93v=u93 - v = u\newlineThen: (93v)16=u16(93 - v) \cdot -16 = u \cdot -16\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: 93v=u93 - v = u\newlineThen: (93v)16=u16(93 - v) \cdot -16 = u \cdot -16\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 Given Expressions: Analyze the given expressions.\newlineWe have the initial equation: 93v=u93 - v = u\newlineAnd the transformed equation: (93v)16=u16(93 - v) \cdot -16 = u \cdot -16\newlineWe need to identify which operation is applied to both sides of the initial equation to obtain the transformed equation.
  2. Identify Operation Used: Identify the operation used.\newlineThe operation used to transform the initial equation is multiplication by 16-16. This is evident because both sides of the initial equation are multiplied by 16-16 to get the transformed equation.
  3. Determine Property of Equality: Determine the property of equality.\newlineSince we are multiplying both sides of the equation by the same number (16-16), 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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