Question

Solve for x.
11/4x + 9 = 31

A. x = 110
B. x = 8
C. x = 22
D. x = -8

Answer 1

To solve for x, we need to isolate the variable by undoing the operations performed on it.

First, let's subtract 9 from both sides of the equation:

11/4x + 9 - 9 = 31 - 9

This simplifies to:

11/4x = 22

Next, let's multiply both sides of the equation by the reciprocal of 11/4 (which is 4/11):

(4/11) * (11/4x) = (4/11) * 22

This simplifies to:

x = 8

So the solution is x = 8.

Therefore, the correct option is B. x = 8.