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Which property of equality is shown below?\newlineIf: 8⋅−84=s8 \cdot -84 = s\newlineThen: 8⋅−84t=st\frac{8 \cdot -84}{t} = \frac{s}{t}\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: 8⋅−84=s8 \cdot -84 = s\newlineThen: 8⋅−84t=st\frac{8 \cdot -84}{t} = \frac{s}{t}\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.\newlineIf: 8⋅−84=s8 \cdot -84 = s\newlineThen: 8⋅−84t=st\frac{8 \cdot -84}{t} = \frac{s}{t}\newlineWe need to identify which operation is applied to both sides of the equation.
  2. Determine Operation Used: Determine the operation used.\newlineThe operation used is division by tt on both sides of the equation.\newline8⋅−84=s8 \cdot -84 = s becomes 8⋅−84t=st\frac{8 \cdot -84}{t} = \frac{s}{t} after dividing both sides by tt.
  3. Identify Property of Equality: Identify the property of equality.\newlineBy dividing both sides of the equation by the same non-zero number tt, the equation remains balanced.\newlineThis is known as the ＂Division Property of Equality＂.

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