283. System

\[
\begin{aligned}
& (x-y)\left(x^{2}-y^{2}\right)=160 \\
& (x+y)\left(x^{2}+y^{2}\right)=580
\end{aligned}
\]

has a pair of roots \(x_{1}=3, y_{1}=7\); what other pair of roots should this system have?
283. The form of the equations will not change if $x$ is replaced by $y$, and $y$ is replaced by $x$; therefore, $x_{2}=7, y_{2}=3$.