Multiuser front-end - multiple backend

I have a single Access 97 front-end, and multiple back-ends. When a user 
(AF) opens the front-end, they select which back-end (AB) they want, and
the 
tables are relinked. All works perfectly fine when there's a single user.

A second user (BF) comes along and opens a different back-end (BB). There 
are now some strange interactions. Sometimes AF appears to be connected to

BB. I think I understand how this happens, but is there a solution? There
is 
only one instance of the front-end, but can I keep multiple users in 
separate client spaces? I don't want to have to tell users to have their
own 
separate front-end.