Select all of the equations below that are equivalent to: 27 = wx Use properties of equality. Multi-select Choices: (A)–54 = wx · –2 (B)75 = 3wx (C)–81 = –3wx (D)81 = wx · 3

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Select all of the equations below that are equivalent to:  27 = wx Use properties of equality.    Multi-select Choices: (A)–54 = wx  ·  –2 (B)75 = 3wx (C)–81 = –3wx (D)81 = wx  ·  3

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Identify Equation: Identify the original equation and understand the task. The original equation is 27 = wx, and we need to find which of the given choices are equivalent to this equation by using properties of equality.Analyze Choice (A): Analyze choice (A) –54 = wx · –2. To determine if this is equivalent to 27 = wx, we can simplify the right side by dividing both sides by –2. –54 / –2 = (wx · –2) / –2 27 = wx This shows that choice (A) is equivalent to the original equation.Analyze Choice (B): Analyze choice (B) 75 = 3wx. To determine if this is equivalent to 27 = wx, we can simplify the right side by dividing both sides by 3. 75 / 3 = 3wx / 3 25 = wx This shows that choice (B) is not equivalent to the original equation.Analyze Choice (C): Analyze choice (C) –81 = –3wx. To determine if this is equivalent to 27 = wx, we can simplify the right side by dividing both sides by –3. –81 / –3 = (–3wx) / –3 27 = wx This shows that choice (C) is equivalent to the original equation.Analyze Choice (D): Analyze choice (D) 81 = wx · 3. To determine if this is equivalent to 27 = wx, we can simplify the right side by dividing both sides by 3. 81 / 3 = (wx · 3) / 3 27 = wx This shows that choice (D) is equivalent to the original equation.

Select all of the equations below that are equivalent to: $\newline$ $27 = wx$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $-54 = wx \cdot -2$ $\newline$ (B) $75 = 3wx$ $\newline$ (C) $-81 = -3wx$ $\newline$ (D) $81 = wx \cdot 3$

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