joeychan, you can run linux on this machine, but you won't get support for the graphic card (hence the "running without video accleration" message).
that's ok for basic usage.
if you are willing to accept that as a fact, we can move on to the other problem.
for that we need to know a little more about the specs for this machine.
try to boot any sort of linux (command line, or graphical & open terminal emulator) and enter this command:
and post the output here.
or a more detailed description, with error messages, from the (failed?) linuxmint boot.