Select all of the equations below that are equivalent to: –49 = xy Use properties of equality. Multi-select Choices: (A)–7 = xy/7 (B)5 = xy/–7 (C)–8 = xy/7 (D)7 = xy/–7

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Select all of the equations below that are equivalent to:  –49 = xy Use properties of equality.    Multi-select Choices: (A)–7 = xy/7 (B)5 = xy/–7 (C)–8 = xy/7 (D)7 = xy/–7

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Identify Equation & Task: Identify the original equation and understand the task. The original equation is –49 = xy. We need to find which of the given choices are equivalent to this equation by using properties of equality.Analyzing Choice (A): Analyze choice (A) –7 = xy/7. To check if this equation is equivalent to –49 = xy, we can multiply both sides of the equation –7 = xy/7 by 7 to see if we get the original equation. –7 * 7 = (xy/7) * 7 –49 = xy This shows that choice (A) is equivalent to the original equation.Analyzing Choice (B): Analyze choice (B) 5 = xy/–7. To check if this equation is equivalent to –49 = xy, we can multiply both sides of the equation 5 = xy/–7 by –7 to see if we get the original equation. 5 * (–7) = (xy/–7) * (–7) –35 = xy This shows that choice (B) is not equivalent to the original equation.Analyzing Choice (C): Analyze choice (C) –8 = xy/7. To check if this equation is equivalent to –49 = xy, we can multiply both sides of the equation –8 = xy/7 by 7 to see if we get the original equation. –8 * 7 = (xy/7) * 7 –56 = xy This shows that choice (C) is not equivalent to the original equation.Analyzing Choice (D): Analyze choice (D) 7 = xy/–7. To check if this equation is equivalent to –49 = xy, we can multiply both sides of the equation 7 = xy/–7 by –7 to see if we get the original equation. 7 * (–7) = (xy/–7) * (–7) –49 = xy This shows that choice (D) is equivalent to the original equation.

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