Which of the following equations would have the solution of n=22 ?(1 point) Responses n+16=18+20 n plus 16 equals 18 plus 20 n+16=38−15 n plus 16 equals 38 minus 15 3n−28=38−14 3 n minus 28 equals 38 minus 14 n−15=7+15

Answer 1

To determine which of the equations has the solution \( n = 22 \), we can substitute \( n = 22 \) into each equation and see which one holds true.

1. \( n + 16 = 18 + 20 \)
   Substituting:
   \( 22 + 16 = 18 + 20 \)
   \( 38 = 38 \) (True)

2. \( n + 16 = 38 - 15 \)
   Substituting:
   \( 22 + 16 = 38 - 15 \)
   \( 38 = 23 \) (False)

3. \( 3n - 28 = 38 - 14 \)
   Substituting:
   \( 3(22) - 28 = 38 - 14 \)
   \( 66 - 28 = 24 \)
   \( 38 = 24 \) (False)

4. \( n - 15 = 7 + 15 \)
   Substituting:
   \( 22 - 15 = 7 + 15 \)
   \( 7 = 22 \) (False)

The only equation that is true when \( n = 22 \) is:

Answer: \( n + 16 = 18 + 20 \).