Question 4
(USS) Find all solutions $x_1,\ldots,x_5$ to the system of equations
$$\begin{cases}x_5+x_2=yx_1,\\x_1+x_3=yx_2,\\x_2+x_4=yx_3,\\x_3+x_5=yx_4,\\x_4+x_1=yx_5,\end{cases}$$
where $y$ is a real parameter.
$$\begin{cases}x_5+x_2=yx_1,\\x_1+x_3=yx_2,\\x_2+x_4=yx_3,\\x_3+x_5=yx_4,\\x_4+x_1=yx_5,\end{cases}$$
where $y$ is a real parameter.