To solve the equation \( \frac{11}{4} x + 9 = 31 \), follow these steps: 1. Subtract 9 from both sides of the equation: \[ \frac{11}{4} x = 31 - 9 \] \[ \frac{11}{4} x = 22 \] 2. Now, multiply both sides by the reciprocal of \( \frac{11}{4} \), which is \( \frac{4}{11} \): \[ x = 22 \times \frac{4}{11} \] 3. Calculate the right side: \[ x = \frac{88}{11} \] \[ x = 8 \] Thus, the solution is \( x = 8 \).

11/4 x+9=31

1 answer

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

Subtract 9 from both sides of the equation: \[ \frac{11}{4} x = 31 - 9 \] \[ \frac{11}{4} x = 22 \]
Now, multiply both sides by the reciprocal of \( \frac{11}{4} \), which is \( \frac{4}{11} \): \[ x = 22 \times \frac{4}{11} \]
Calculate the right side: \[ x = \frac{88}{11} \] \[ x = 8 \]

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