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Select all of the equations below that are equivalent to:\newlinest=31st = -31\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 3st=933st = -93\newline(B) 3st=90-3st = 90\newline(C) 3st=963st = -96\newline(D) st2=60st \cdot -2 = 60

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Q. Select all of the equations below that are equivalent to:\newlinest=31st = -31\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 3st=933st = -93\newline(B) 3st=90-3st = 90\newline(C) 3st=963st = -96\newline(D) st2=60st \cdot -2 = 60
  1. Identify Equation & Task: Identify the original equation and understand the task.\newlineThe original equation is st=31st = -31. We need to find which of the given choices are equivalent to this equation by using properties of equality.
  2. Check Choice (A): Analyze choice (A) 3st=933st = -93. To check if this is equivalent to st=31st = -31, we can divide both sides of 3st=933st = -93 by 33 to see if we get st=31st = -31. 3st3=933\frac{3st}{3} = \frac{-93}{3} st=31st = -31 This shows that multiplying both sides of the original equation by 33 gives us choice (A), so it is equivalent.
  3. Check Choice (B): Analyze choice (B) 3st=90–3st = 90. To check if this is equivalent to st=31st = –31, we can divide both sides of 3st=90–3st = 90 by 3–3 to see if we get st=31st = –31. 3st/3=90/3–3st / –3 = 90 / –3 st=30st = –30 This does not give us st=31st = –31, so choice (B) is not equivalent.
  4. Check Choice (C): Analyze choice (C) 3st=963st = -96. To check if this is equivalent to st=31st = -31, we can divide both sides of 3st=963st = -96 by 33 to see if we get st=31st = -31. 3st3=963\frac{3st}{3} = \frac{-96}{3} st=32st = -32 This does not give us st=31st = -31, so choice (C) is not equivalent.
  5. Check Choice (D): Analyze choice (D) st2=60st \cdot -2 = 60. To check if this is equivalent to st=31st = -31, we can divide both sides of st2=60st \cdot -2 = 60 by 2-2 to see if we get st=31st = -31. st=602st = \frac{60}{-2} st=30st = -30 This does not give us st=31st = -31, so choice (D) is not equivalent.

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