Select all of the equations below that are equivalent to:st=−31Use properties of equality.Multi-select Choices:(A) 3st=−93(B) −3st=90(C) 3st=−96(D) st⋅−2=60
Q. Select all of the equations below that are equivalent to:st=−31Use properties of equality.Multi-select Choices:(A) 3st=−93(B) −3st=90(C) 3st=−96(D) st⋅−2=60
Identify Equation & Task: Identify the original equation and understand the task.The original equation is st=−31. We need to find which of the given choices are equivalent to this equation by using properties of equality.
Check Choice (A): Analyze choice (A) 3st=−93. To check if this is equivalent to st=−31, we can divide both sides of 3st=−93 by 3 to see if we get st=−31. 33st=3−93st=−31 This shows that multiplying both sides of the original equation by 3 gives us choice (A), so it is equivalent.
Check Choice (B): Analyze choice (B) –3st=90. To check if this is equivalent to st=–31, we can divide both sides of –3st=90 by –3 to see if we get st=–31. –3st/–3=90/–3st=–30 This does not give us st=–31, so choice (B) is not equivalent.
Check Choice (C): Analyze choice (C) 3st=−96. To check if this is equivalent to st=−31, we can divide both sides of 3st=−96 by 3 to see if we get st=−31. 33st=3−96st=−32 This does not give us st=−31, so choice (C) is not equivalent.
Check Choice (D): Analyze choice (D) st⋅−2=60. To check if this is equivalent to st=−31, we can divide both sides of st⋅−2=60 by −2 to see if we get st=−31. st=−260st=−30 This does not give us st=−31, so choice (D) is not equivalent.