Question

Which of the following equations would have the solution of n=22
?(1 point)
Responses

n+16=38−15
n plus 16 equals 38 minus 15

n−15=7+15
n minus 15 equals 7 plus 15

3n−28=38−14
3 n minus 28 equals 38 minus 14

n+16=18+20

Answer 1

Let's solve each equation to determine which one has the solution \( n = 22 \).

1. **Equation:** \( n + 16 = 38 - 15 \)
\[
n + 16 = 23 \\
n = 23 - 16 \\
n = 7
\]

2. **Equation:** \( n - 15 = 7 + 15 \)
\[
n - 15 = 22 \\
n = 22 + 15 \\
n = 37
\]

3. **Equation:** \( 3n - 28 = 38 - 14 \)
\[
3n - 28 = 24 \\
3n = 24 + 28 \\
3n = 52 \\
n = \frac{52}{3} \\
n \approx 17.33
\]

4. **Equation:** \( n + 16 = 18 + 20 \)
\[
n + 16 = 38 \\
n = 38 - 16 \\
n = 22
\]

The equation that has the solution \( n = 22 \) is:

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