Find all solutions x1,x2,x3,x4,x5x_1, x_2, x_3, x_4, x_5x1,x2,x3,x4,x5 of the system x5+x2=yx1x1+x3=yx2x2+x4=yx3x3+x5=yx4x4+x1=yx5,\begin{aligned} 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{aligned}x5+x2x1+x3x2+x4x3+x5x4+x1=yx1=yx2=yx3=yx4=yx5, where yyy is a parameter.