Hello all. Today I purchased a Sega Genesis, Sega CD, and Sega 32x at a somewhat-local used game store.

After much fiddling with wires and all, I got the Genesis and CD running smoothly.

The problem is with the 32x.
When I attempt to play a 32x game, I get no sound and the video is, well..screwy. Not even a distorted image of the game, just...bleh. Now, I've only got one 32x game, sadly, so I have no way of trying another cartridge.
When I play a Genesis game through the 32x, I get sound, but still no video. The game works fine without the 32x in, however.
Because of this, I feel as if there's a problem with the 32x itself, or with the wire that connects it to the Genesis.
Is there any way of finding out which of these is problematic without buying a new 32x and/or wire?

As always, your help is greatly appreciated.