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Which property of equality is shown below?\newlineIf: y=x+(78)y = x + (-78)\newlineThen: y93=x+(78)93y - 93 = x + (-78) - 93\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+(78)y = x + (-78)\newlineThen: y93=x+(78)93y - 93 = x + (-78) - 93\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+(78)y = x + (–78)\newlineAnd the modified equation: y93=x+(78)93y – 93 = x + (–78) – 93\newlineWe need to identify which operation is applied to both sides of the original equation to obtain the modified equation.
  2. Identify Operation: Identify the operation used.\newlineBy comparing the original and modified equations, we can see that 9393 is subtracted from both sides of the original equation.\newliney=x+(78)y = x + (–78)\newlineSubtract 9393 from both sides.\newliney93=x+(78)93y – 93 = x + (–78) – 93
  3. Determine Property: Determine the property of equality used.\newlineSince we subtracted the same number, 9393, from both sides of the equation, the property of equality that is being used is the Subtraction Property of Equality.

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