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Select all of the equations below that are equivalent to:\newlinewx=84wx = -84\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) wx3=28\frac{wx}{-3} = 28\newline(B) wx2=42\frac{wx}{-2} = 42\newline(C) wx21=4\frac{wx}{21} = -4\newline(D) wx7=12\frac{wx}{7} = -12

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Q. Select all of the equations below that are equivalent to:\newlinewx=84wx = -84\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) wx3=28\frac{wx}{-3} = 28\newline(B) wx2=42\frac{wx}{-2} = 42\newline(C) wx21=4\frac{wx}{21} = -4\newline(D) wx7=12\frac{wx}{7} = -12
  1. Identify Equation & Operation: Identify the original equation and the operation needed to find equivalent equations.\newlineThe original equation is wx=84wx = -84. To find equivalent equations, we can divide both sides of the equation by the same non-zero number.
  2. Check Option (A): Check if option (A) is equivalent to the original equation.\newlineDivide the original equation by 3–3: wx3=843\frac{wx}{–3} = \frac{–84}{–3}. Calculate the right side: 843=28\frac{–84}{–3} = 28. So, wx3=28\frac{wx}{–3} = 28 is equivalent to wx=84wx = –84.
  3. Check Option (B): Check if option (B) is equivalent to the original equation.\newlineDivide the original equation by 2–2: wx2=842\frac{wx}{–2} = \frac{–84}{–2}. Calculate the right side: 84/2=42–84/–2 = 42. So, wx2=42\frac{wx}{–2} = 42 is equivalent to wx=84wx = –84.
  4. Check Option (C): Check if option (C) is equivalent to the original equation.\newlineDivide the original equation by 2121: wx21=8421\frac{wx}{21} = \frac{-84}{21}. Calculate the right side: 8421=4-\frac{84}{21} = -4. So, wx21=4\frac{wx}{21} = -4 is equivalent to wx=84wx = -84.
  5. Check Option (D): Check if option (D) is equivalent to the original equation.\newlineDivide the original equation by 77: wx/7=84/7wx/7 = -84/7. Calculate the right side: 84/7=12-84/7 = -12. So, wx/7=12wx/7 = -12 is equivalent to wx=84wx = -84.

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