Question

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

Answer 1

neg or pos and are u sureee

Answer 2

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

\[
\boxed{8}
\]

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:

\[
\boxed{8}
\]

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