Select all of the equations below that are equivalent to: –20 = vw Use properties of equality. Multi-select Choices: (A)44 = –2vw (B)60 = vw · –3 (C)66 = vw · –3 (D)100 = –5vw

Question

Select all of the equations below that are equivalent to:  –20 = vw Use properties of equality.    Multi-select Choices: (A)44 = –2vw (B)60 = vw  ·  –3 (C)66 = vw  ·  –3 (D)100 = –5vw

Bytelearn · Accepted Answer

Manipulate Original Equation: To determine if an equation is equivalent to –20 = vw, we can manipulate the original equation using properties of equality and see if we can transform it into the given choices without changing the equality.Check Choice (A): Let's start with choice (A) 44 = –2vw. To check if this is equivalent to –20 = vw, we can divide both sides of the original equation by –2. –20 / –2 = vw / –2 10 = –0.5vw This does not match choice (A), which has 44 on the left side and –2vw on the right side.Check Choice (B): Now let's check choice (B) 60 = vw · –3. To check if this is equivalent to –20 = vw, we can multiply both sides of the original equation by –3. –20 * –3 = vw * –3 60 = –3vw This does not match choice (B), which has 60 on the left side and vw · –3 on the right side, without the negative sign in front of vw.Check Choice (C): Next, let's check choice (C) 66 = vw · –3. To check if this is equivalent to –20 = vw, we can multiply both sides of the original equation by –3, as we did for choice (B). –20 * –3 = vw * –3 60 = –3vw This does not match choice (C), which has 66 on the left side and vw · –3 on the right side.Check Choice (D): Finally, let's check choice (D) 100 = –5vw. To check if this is equivalent to –20 = vw, we can multiply both sides of the original equation by –5. –20 * –5 = vw * –5 100 = –5vw This matches choice (D), which has 100 on the left side and –5vw on the right side.

Select all of the equations below that are equivalent to: $\newline$ $-20 = vw$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $44 = -2vw$ $\newline$ (B) $60 = vw \cdot -3$ $\newline$ (C) $66 = vw \cdot -3$ $\newline$ (D) $100 = -5vw$

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