revisited: stereo woes

[James Hanson]

Ok... another silly question...

I've got 4 new speakers and a head unit to install, and I figure that I
should probably run better speaker wire than what's there (87 4kq).  Front
speakers should be no problem, but what about the rear?
Would it be possible to tie new speaker wire to the old ones and just pull
it through?  Just leave the old wires there and run new wires under
the carpet?  What's the cleanest (not necessarily the easiest) way to do
this?

Thanks,
Jim