Which of the following equations would have the solution of n=22

Question

?(1 point)
Responses

n−15=7+15
n minus 15 equals 7 plus 15

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

Answer 1

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

1. Equation: \( n - 15 = 7 + 15 \)

   Substituting \( n = 22 \):

   \[ 22 - 15 = 7 + 15 \]

   \[ 7 = 22 \quad \text{(False)} \]

2. Equation: \( n + 16 = 18 + 20 \)

   Substituting \( n = 22 \):

   \[ 22 + 16 = 18 + 20 \]

   \[ 38 = 38 \quad \text{(True)} \]

3. Equation: \( n + 16 = 38 - 15 \)

   Substituting \( n = 22 \):

   \[ 22 + 16 = 38 - 15 \]

   \[ 38 = 23 \quad \text{(False)} \]

4. Equation: \( 3n - 28 = 38 - 14 \)

   Substituting \( n = 22 \):

   \[ 3(22) - 28 = 38 - 14 \]

   \[ 66 - 28 = 24 \]

   \[ 38 = 24 \quad \text{(False)} \]

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

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