How do I install the new Adobe reader on my Linux system?

what is a computer "re-re"? haha
if you want version 9.4, it's available via the software center.
version 10.1.1 isn't available for linux, however, you can install the windows version via wine. you can get wine from the software center as well. after you install wine, just right click on adobe reader and select open with wine launcher and you're on your way.

you can find adobe reader in ubuntu software center. alternatively, you can download the latest version from
http://get.adobe.com/reader/ . select the package you want to download. or else you can download the .bin file and compile yours :)

@ marcus aurelius: I tried to get wine and it said it is not available for this computer, I have a fujitsu lifebook T-series that is running a linux op-sys with ubuntu - mozilla firefox. and a computer re-re is ME! HELP!!!

that's weird. wine is a standard package in all version of ubuntu.
anyhoo, i'm guessing you don't have all the sofware sources enabled.
go into software sources and click on all the entries that does not say "sources" at the end.
when you close software sources, you'll be asked to reload or update. let that happen.
then go into terminal. if you're using 10.04 or 10,10, the command is CTL+ALT+T. if you're using 11.04 or 11.10, you have to search for terminal in the dash.
when you're in terminal, type

sudo apt-get update
sudo apt-get upgrade
sudo apt-get install wine1.3

enter your password when asked. it won't show up on your screen

i'm assuming you're using ubuntu. if not, then the procedures probably won't work.