After the Kylix installation, typing in startdelphi in the command prompt would return an error message. After searching the net I found the solution to loading Kylix was to edit the startdelphi file and insert this on the very first line of the file:
export LD_ASSUME_KERNEL=2.4.1
After typing that in and saving the file, I now have Borland Kylix 3 Open Edition running great on my Linux box.