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Select all of the equations below that are equivalent to:\newline21=fg-21 = f - g\newlineUse properties of equality.\newline\newlineMulti-select Choices:\newline(A) 5=fg35 = \frac{f - g}{-3}\newline(B) 7=fg3-7 = \frac{f - g}{3}\newline(C) 3=fg73 = \frac{f - g}{-7}\newline(D) 4=fg7-4 = \frac{f - g}{7}

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Q. Select all of the equations below that are equivalent to:\newline21=fg-21 = f - g\newlineUse properties of equality.\newline\newlineMulti-select Choices:\newline(A) 5=fg35 = \frac{f - g}{-3}\newline(B) 7=fg3-7 = \frac{f - g}{3}\newline(C) 3=fg73 = \frac{f - g}{-7}\newline(D) 4=fg7-4 = \frac{f - g}{7}
  1. Identify Equation & Task: Identify the original equation and understand the task.\newlineThe original equation is 21=fg-21 = f - g. We need to find which of the given choices are equivalent to this equation by using properties of equality.
  2. Analyze Choice (A): Analyze choice (A) 5=fg35 = f - \frac{g}{-3}. To check if this equation is equivalent to 21=fg-21 = f - g, we need to multiply both sides of the equation by 3-3. 5×(3)=(fg3)×(3)5 \times (-3) = \left(f - \frac{g}{-3}\right) \times (-3) 15=fg-15 = f - g This equation is not equivalent to 21=fg-21 = f - g.
  3. Analyze Choice (B): Analyze choice (B) 7=fg3-7 = f - \frac{g}{3}. To check if this equation is equivalent to 21=fg-21 = f - g, we need to multiply both sides of the equation by 33. (7)×3=(fg3)×3(-7) \times 3 = (f - \frac{g}{3}) \times 3 21=fg-21 = f - g This equation is equivalent to 21=fg-21 = f - g.
  4. Analyze Choice (C): Analyze choice (C) 3=fg73 = f - \frac{g}{-7}. To check if this equation is equivalent to 21=fg-21 = f - g, we need to multiply both sides of the equation by 7-7. 3×(7)=(fg7)×(7)3 \times (-7) = \left(f - \frac{g}{-7}\right) \times (-7) 21=fg-21 = f - g This equation is equivalent to 21=fg-21 = f - g.
  5. Analyze Choice (D): Analyze choice (D) 4=fg7-4 = f - \frac{g}{7}. To check if this equation is equivalent to 21=fg-21 = f - g, we need to multiply both sides of the equation by 77. (4)×7=(fg7)×7(-4) \times 7 = (f - \frac{g}{7}) \times 7 28=fg-28 = f - g This equation is not equivalent to 21=fg-21 = f - g.

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