Solve for x .

Question

11/4x+9=31

Answer 1

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

1. Subtract 9 from both sides of the equation:

   $$\frac{11}{4}x+9-9=31-9$$

   $$\frac{11}{4}x=22$$

2. To isolate $x$, multiply both sides by the reciprocal of $\frac{11}{4}$, which is $\frac{4}{11}$:

   $$x=22\cdot \frac{4}{11}$$

3. Now simplify the right-hand side:

   $$x=\frac{22\cdot 4}{11}$$

   $$x=\frac{88}{11}$$

   $$x=8$$

Thus, the solution is

$$\boxed{{\displaystyle 8}}$$

Answer 2

neg or pos and are u sureee

Answer 3

Yes, let's go through the calculation step by step again to confirm the solution for $x$ in the equation:

$$\frac{11}{4}x+9=31$$

1. Subtract 9 from both sides:

   $$\frac{11}{4}x=31-9$$

   $$\frac{11}{4}x=22$$

2. Now, multiply both sides by the reciprocal of $\frac{11}{4}$ (which is $\frac{4}{11}$):

   $$x=22\cdot \frac{4}{11}$$

3. Simplifying this:

   $$x=\frac{22\times 4}{11}$$

   $$x=\frac{88}{11}$$

   $$x=8$$

So, the value of $x$ is indeed positive and the confirmed solution is:

$$\boxed{{\displaystyle 8}}$$

If you have any further doubts, feel free to ask!