![](https://cdn.mathpix.com/cropped/2024_05_06_278dceb3f0947a8409cfg-28.jpg?height=183&width=2027&top_left_y=1492&top_left_x=13)

Solve the system of equations:

$$
\begin{aligned}
& x y(x+y)=30 \\
& x^{3}+y^{3}=35
\end{aligned}
$$
After replacing $u=x y, v=x+y$ the system will take the form

![](https://cdn.mathpix.com/cropped/2024_05_06_278dceb3f0947a8409cfg-28.jpg?height=140&width=663&top_left_y=1977&top_left_x=0)

Solving the last system, we will get the answer.

## Answer

$\{2,3\}$.