Select all of the equations below that are equivalent to: –6 = –26f Use properties of equality. Multi-select Choices: (A)–2 · –6 = 48f (B)56 = –8 · –26f (C)3 · –6 = –78f (D)–3 · –6 = 72f

Question

Select all of the equations below that are equivalent to:  –6 = –26f Use properties of equality.    Multi-select Choices: (A)–2  ·  –6 = 48f (B)56 = –8  ·  –26f (C)3  ·  –6 = –78f (D)–3  ·  –6 = 72f

Bytelearn · Accepted Answer

Check (A) Multiplication: To determine if the equations are equivalent, we need to check if the operations applied to both sides of the original equation maintain equality. Let's start with choice (A): –2 · –6 = 48f We can check if multiplying both sides of the original equation by –2 gives us this result. –2 · (–6) = –2 · (–26f) 12 = 52f This is not equivalent to 48f.Check (B) Multiplication: Now let's check choice (B): 56 = –8 · –26f We can check if multiplying both sides of the original equation by –8 gives us this result. –8 · (–6) = –8 · (–26f) 48 = 208f This is not equivalent to 56.Check (C) Multiplication: Next, let's check choice (C): 3 · –6 = –78f We can check if multiplying both sides of the original equation by 3 gives us this result. 3 · (–6) = 3 · (–26f) –18 = –78f This is equivalent to the original equation.Check (D) Multiplication: Finally, let's check choice (D): –3 · –6 = 72f We can check if multiplying both sides of the original equation by –3 gives us this result. –3 · (–6) = –3 · (–26f) 18 = 78f This is not equivalent to 72f.

Select all of the equations below that are equivalent to: $\newline$ $-6 = -26f$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $-2 \cdot -6 = 48f$ $\newline$ (B) $56 = -8 \cdot -26f$ $\newline$ (C) $3 \cdot -6 = -78f$ $\newline$ (D) $-3 \cdot -6 = 72f$

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