Select all of the equations below that are equivalent to: 12 = xy Use properties of equality. Multi-select Choices: (A)2 = xy − 9 (B)7 = xy − 5 (C)4 = xy − 8 (D)2 = xy − 10

Question

Select all of the equations below that are equivalent to:  12 = xy Use properties of equality.    Multi-select Choices: (A)2 = xy  −  9 (B)7 = xy  −  5 (C)4 = xy  −  8 (D)2 = xy  −  10

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Original Equation: To determine if an equation is equivalent to 12 = xy, we can manipulate the original equation and compare it to the choices given. We start with the original equation: 12 = xy Which operation should be used to compare with the choices? We should subtract a value from both sides of the equation to match the format of the choices.Comparison with Choice (A): Let's compare the original equation with choice (A): 12 = xy Subtract 9 from both sides: 12 - 9 = xy - 9 3 = xy - 9 This does not match choice (A), which states 2 = xy - 9.Comparison with Choice (B): Now let's compare the original equation with choice (B): 12 = xy Subtract 5 from both sides: 12 - 5 = xy - 5 7 = xy - 5 This matches choice (B), which states 7 = xy - 5.Comparison with Choice (C): Next, let's compare the original equation with choice (C): 12 = xy Subtract 8 from both sides: 12 - 8 = xy - 8 4 = xy - 8 This matches choice (C), which states 4 = xy - 8.Comparison with Choice (D): Finally, let's compare the original equation with choice (D): 12 = xy Subtract 10 from both sides: 12 - 10 = xy - 10 2 = xy - 10 This does not match choice (D), which states 2 = xy - 10.

Select all of the equations below that are equivalent to: $\newline$ $12 = xy$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $2 = xy - 9$ $\newline$ (B) $7 = xy - 5$ $\newline$ (C) $4 = xy - 8$ $\newline$ (D) $2 = xy - 10$

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