Solve for x.

Question

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

x=22
x equals 22

x=110
x equals 110

x=−8
x equals negative 8

x=8

Answer 1

To solve the equation \( \frac{11}{4}x + 9 = 31 \), 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 \( x \): \[ x = 22 \cdot \frac{4}{11} \]

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

So, the solution is \( x = 8 \).

The correct response from the options provided is:

• \( x = 8 \)