  We determine the off-shell N=1 supersymmetry transformation rules for a
tensor-Yang-Mills system in which the tensor field transforms in a nontrivial
representation of the Yang-Mills group, and there is an additional vector
multiplet in the same representation. We then show that this system describes a
massive tensor multiplet coupled to Yang-Mills in which the additional vector
multiplet is eaten by the tensor field. Next, we construct an action which
consists of four separately off-shell supersymmetric pieces and find that
integrating out the auxiliary fields gives rise to an infinite number of higher
order couplings of the scalar field belonging to the tensor multiplet. We
describe the dualization of the massive tensor to a massive vector, thereby
ending up with an on-shell supersymmetric nonabelian massive vector multiplet
coupled to an off-shell Yang-Mills multiplet which we refer to as the
supersymmetric Proca-Yang-Mills system. This description of massive vectors is
contrasted with the standard one obtained through the Higgs mechanism.
