Select all of the equations below that are equivalent to: 17 = 8 − m Use properties of equality. Multi-select Choices: (A)6 = 8 − m − 11 (B)3 = 8 − m − 14 (C)16 = 8 − m − 3 (D)11 = 8 − m − 6

Question

Select all of the equations below that are equivalent to:  17 = 8 − m Use properties of equality.    Multi-select Choices: (A)6 = 8  −  m  −  11 (B)3 = 8  −  m  −  14 (C)16 = 8  −  m  −  3 (D)11 = 8  −  m  −  6

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Check Option (A): To determine if an equation is equivalent to 17 = 8 − m, we need to see if the operations on the right side of the equation, when applied to 8 − m, will result in 17.Check Option (B): Let's check option (A) 6 = 8 − m − 11. We can rewrite this as 6 = (8 − m) − 11. To check for equivalence, we add 11 to both sides to see if we get 17 = 8 − m. 6 + 11 = (8 − m) − 11 + 11 17 = 8 − m This shows that option (A) is equivalent to 17 = 8 − m.Check Option (C): Now let's check option (B) 3 = 8 − m − 14. We can rewrite this as 3 = (8 − m) − 14. To check for equivalence, we add 14 to both sides to see if we get 17 = 8 − m. 3 + 14 = (8 − m) − 14 + 14 17 = 8 − m This shows that option (B) is also equivalent to 17 = 8 − m.Check Option (D): Next, we check option (C) 16 = 8 − m − 3. We can rewrite this as 16 = (8 − m) − 3. To check for equivalence, we add 3 to both sides to see if we get 17 = 8 − m. 16 + 3 = (8 − m) − 3 + 3 19 ≠ 17 This shows that option (C) is not equivalent to 17 = 8 − m.Finally, let's check option (D) 11 = 8 − m − 6. We can rewrite this as 11 = (8 − m) − 6. To check for equivalence, we add 6 to both sides to see if we get 17 = 8 − m. 11 + 6 = (8 − m) − 6 + 6 17 = 8 − m This shows that option (D) is equivalent to 17 = 8 − m.

Select all of the equations below that are equivalent to: $\newline$ $17 = 8 - m$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $6 = 8 - m - 11$ $\newline$ (B) $3 = 8 - m - 14$ $\newline$ (C) $16 = 8 - m - 3$ $\newline$ (D) $11 = 8 - m - 6$

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