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Which property of equality is shown below?\newlineIf: yx=5yx = 5\newlineThen: yx−z=5−zyx - z = 5 - z\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: yx=5yx = 5\newlineThen: yx−z=5−zyx - z = 5 - z\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 Expressions: Analyze the given expressions.\newlineWe have the original equation: yx=5yx = 5\newlineAnd the modified equation: yx−z=5−zyx - z = 5 - z\newlineWe need to identify which operation is applied to both sides of the original equation.
  2. Identify Operation: Identify the operation used.\newlineBy comparing the original and modified equations, we can see that 'zz' is subtracted from both sides of the original equation.\newlineyx=5yx = 5 becomes yx−z=5−zyx - z = 5 - z after the operation.
  3. Determine Property: Determine the property of equality used.\newlineSince the same value 'zz' is subtracted from both sides of the equation, the property of equality that is being used is the Subtraction Property of Equality.

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