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Which property of equality is shown below?\newlineIf: w=x(39)w = x - (-39)\newlineThen: wy=x(39)yw - y = x - (-39) - y\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: w=x(39)w = x - (-39)\newlineThen: wy=x(39)yw - y = x - (-39) - y\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 Statements: Analyze the given statements.\newlineIf: w=x(39)w = x - (-39)\newlineThen: wy=x(39)yw - y = x - (-39) - y\newlineIdentify the operation performed on both sides of the equation.
  2. Determine Property Used: Determine the property of equality used.\newlineThe operation of subtracting 'yy' from both sides of the equation is observed.\newlinew=x(39)w = x − (−39)\newlineSubtract yy from both sides.\newlinewy=x(39)yw − y = x − (−39) − y
  3. Match Operation with Property: Match the operation with the correct property of equality. Subtracting yy from both sides of the equation without changing the equality shows the use of the Subtraction Property of Equality.

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