If I'm getting this straight, you are wanting to install Linux as a
dual boot system to be able to print with your Lexmark printer. Is
this correct? I'm not a big Linux guru, but I do know that Linux uses
the cups service to print. Not sure if it requires specific drivers to
do that or not, but check with the mfg to see if they have Linux
drivers for your flavor of OS. Once you found those, research how to
install that in Linux.
If that's totally wrong, re-explain what you are trying to accomplish.