Skyrim on better PC

My PC went dead on me only after a week or so of getting a new motherboard & the casing. Well, not actually dead but more like a zombie. It does work now but w/o my Geforce card which sucks because I won't be able to do some 3d stuff on it including playing Skyrim which I was able to play for 4 or so days w/o much trouble. But the good thing is that I'm getting a new PC now which would be a 'Core 2 Duo' meaning I'd be able to play Skyrim on a PC it's meant to be played on. My Geforce is strong enough. It was the processor that was kinda older. I would be needing more RAM too.