Question

Solve for x. ​Don't forget to perform a check.
two thirteenths x
​= 10

Answer 1

To solve the equation \(\frac{2}{13} x = 10\), follow these steps:

1. **Isolate \(x\)** by eliminating the fraction. Multiply both sides of the equation by the reciprocal of \(\frac{2}{13}\), which is \(\frac{13}{2}\):

\[
x = 10 \times \frac{13}{2}
\]

2. **Calculate** the right side:

\[
x = 10 \times \frac{13}{2} = \frac{130}{2} = 65
\]

So, \(x = 65\).

3. **Check** the solution by substituting \(x\) back into the original equation:

\[
\frac{2}{13} \times 65 = 10
\]

Calculate \(\frac{2 \times 65}{13}\):

\[
= \frac{130}{13} = 10
\]

The left side equals the right side, confirming that our solution is correct.

Thus, the solution is:

\[
\boxed{65}
\]