i can't see why not, you have a decent cpu, a mobo with pcie 2.0 x16 slot, enough ram for games, the important thing you should be asking is if your psu can handle the card(it requires a decent psu with ~400w with a 6 pin pcie connector).
So what's your psu brand and wattage ?
Thanks for the help. I can't check right now because I have to head out, but when I get home I'll check. Do I need to open up my computer to do so? If so it is not a problem.