Select all of the equations below that are equivalent to: –24 = –10k Use properties of equality. Multi-select Choices: (A)–69 = –10k · 3 (B)10 · –24 = –100k (C)69 = –3 · –10k (D)–88 = 4 · –10k

Question

Select all of the equations below that are equivalent to:  –24 = –10k Use properties of equality.    Multi-select Choices: (A)–69 = –10k  ·  3 (B)10  ·  –24 = –100k (C)69 = –3  ·  –10k (D)–88 = 4  ·  –10k

Bytelearn · Accepted Answer

Check Option (A): To determine if an equation is equivalent to –24 = –10k, we need to see if the operations performed on both sides of the equation maintain equality. Let's start with option (A) –69 = –10k · 3. To check if this is equivalent, we can divide both sides of the equation by 3 to see if we get the original equation. –69 / 3 = (–10k · 3) / 3 –23 = –10k This is not equivalent to –24 = –10k.Check Option (B): Now let's check option (B) 10 · –24 = –100k. To check if this is equivalent, we can divide both sides of the equation by 10 to see if we get the original equation. (10 · –24) / 10 = (–100k) / 10 –24 = –10k This is equivalent to –24 = –10k.Check Option (C): Next, we check option (C) 69 = –3 · –10k. To check if this is equivalent, we can divide both sides of the equation by –3 to see if we get the original equation. 69 / (–3) = (–3 · –10k) / (–3) –23 = 10k This is not equivalent to –24 = –10k because the signs do not match.Check Option (D): Finally, let's check option (D) –88 = 4 · –10k. To check if this is equivalent, we can divide both sides of the equation by 4 to see if we get the original equation. –88 / 4 = (4 · –10k) / 4 –22 = –10k This is not equivalent to –24 = –10k.

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