Solve for x .

Question

11/4x + 9 = 31 (1 point)
Responses

x = −8
x equals negative 8

x=22
x equals 22

x=8
x equals 8

x=110

Answer 1

To solve the equation \( \frac{11}{4}x + 9 = 31 \), we can follow these steps:

1. Subtract 9 from both sides: \[ \frac{11}{4}x = 31 - 9 \] \[ \frac{11}{4}x = 22 \]

2. Multiply both sides by \( \frac{4}{11} \) to isolate \( x \): \[ x = 22 \times \frac{4}{11} \]

3. Simplify: \[ x = \frac{88}{11} = 8 \]

So the solution is: \[ x = 8 \]

Thus, the correct response is x = 8.