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Which property of equality is shown below?\newlineIf: b+(54)=cb + (-54) = c\newlineThen: b+(54)45=c45b + (-54) - 45 = c - 45\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: b+(54)=cb + (-54) = c\newlineThen: b+(54)45=c45b + (-54) - 45 = c - 45\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 Statements: Analyze the given statements.\newlineIf: b+(54)=cb + (-54) = c\newlineThen: b+(54)45=c45b + (-54) - 45 = c - 45\newlineIdentify the operation performed on both sides of the equation.
  2. Determine Property: Determine the property of equality used.\newlineThe operation of subtracting 4545 is applied to both sides of the original equation.\newlineb+(54)45=c45b + (–54) – 45 = c – 45\newlineThis operation maintains the balance of the equation.
  3. Match Operation: Match the operation with the correct property of equality. Subtracting a number from both sides of an equation is an application of the Subtraction Property of Equality.

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