In reply to Charlie Evans: Without my Libby Peters to hand I can't recall the diagram exactly but:
Once you have isolated the belay plate (by doing the two prussics thing) untie the belay plate and *slowly* let the load come onto the prussics (check that they are holding).
Now take the dead rope from the belay plate and put it into a italian hitch on the belay.
While keeping hold of the dead rope from the italian hitch take the belay plate out of the system.
Take in the slack on the italian hitch and tie it off.
You are now free to untie from the rope assuming you are safe to do so. You can also retrive the prussics and sling at this point if you remembered to do a french for the lower one as you can gently release it an let the load come onto the tied of italian hitch.
If you're going to need to abseil on the now free end of the rope don't load the backside of the italian hitch directly but create a small isolation a foot or so down the rope to ab from.