Okay, do your wires look like this?
One wire in a jacket and the other not in a jacket?
If so, then just take the wires that are the same and twist them together like this:
Then just apply some black electrical tape and you should be alright, or if you want to you can use some shrink wrap insulation for wires, all you do is put it on before you twist the wires together, slide it over the wire then take a match and melt it very slightly to form a tight wrap around the wire.
I just did this to an old set of headphones I have and they still worked.
hope this helped