I would make sure that the stereo system can handle the headset. While I am not experienced with the set up of the stereo systems with the headset, I do have my own system and use it at the gym where I teach and just plug into my own receiver which works with my headset (cause theirs is always on the outs).
I wish I could be more help but it depends on the setup of the stereo system.... If it is a boom box, well, you may be out of luck. Sorry I am not much help,