  In this paper we study a class of Hardy--Sobolev type systems defined in
$\mathbb{R}^N$ and coupled by a singular critical Hardy--Sobolev term. The main
novelty of this work is that the orders of the singularities are independent
and contained in a wide range. By means of variational techniques, we will
prove the existence of positive bound and ground states for such a system. In
particular, we find solutions as minimizers or Mountain--Pass critical points
of the energy functional on the underlying Nehari manifold.
