Select all of the equations below that are equivalent to: 7 − n = 13 Use properties of equality. Multi-select Choices: (A)7 − n − 2 = 11 (B)7 − n − 3 = 10 (C)7 − n − 11 = 2 (D)7 − n − 10 = 3

Question

Select all of the equations below that are equivalent to:  7 − n = 13 Use properties of equality.    Multi-select Choices: (A)7  −  n  −  2 = 11 (B)7  −  n  −  3 = 10 (C)7  −  n  −  11 = 2 (D)7  −  n  −  10 = 3

Bytelearn · Accepted Answer

Manipulate Original Equation: To determine if the equations are equivalent, we can manipulate the original equation 7 − n = 13 using properties of equality to see if we can transform it into any of the given choices.Check Choice (A): First, let's look at choice (A): 7 − n − 2 = 11. We can start with the original equation and subtract 2 from both sides to see if we get the equation in choice (A). 7 − n = 13 Subtract 2 from both sides: (7 − n) − 2 = 13 − 2 7 − n − 2 = 11 This matches choice (A), so (A) is equivalent to the original equation.Check Choice (B): Now, let's look at choice (B): 7 − n − 3 = 10. We can start with the original equation and subtract 3 from both sides to see if we get the equation in choice (B). 7 − n = 13 Subtract 3 from both sides: (7 − n) − 3 = 13 − 3 7 − n − 3 = 10 This matches choice (B), so (B) is equivalent to the original equation.Check Choice (C): Next, let's look at choice (C): 7 − n − 11 = 2. We can start with the original equation and subtract 11 from both sides to see if we get the equation in choice (C). 7 − n = 13 Subtract 11 from both sides: (7 − n) − 11 = 13 − 11 7 − n − 11 = 2 This matches choice (C), so (C) is equivalent to the original equation.Check Choice (D): Finally, let's look at choice (D): 7 − n − 10 = 3. We can start with the original equation and subtract 10 from both sides to see if we get the equation in choice (D). 7 − n = 13 Subtract 10 from both sides: (7 − n) − 10 = 13 − 10 7 − n − 10 = 3 This matches choice (D), so (D) is equivalent to the original equation.

Select all of the equations below that are equivalent to: $\newline$ $7 - n = 13$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $7 - n - 2 = 11$ $\newline$ (B) $7 - n - 3 = 10$ $\newline$ (C) $7 - n - 11 = 2$ $\newline$ (D) $7 - n - 10 = 3$

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