Well my system is not that good -- nforce 610i motherboard with intel C2D 2.20GHz E4500,2x2GB DDR2 RAM,400W Cooler Master PSU;
and i use the same card just from XFX(which means the memory is not factory overclocked ~1700 unlike Gigabyte gives a 1800 effective)
Still I ran Dirt2 in maxed out in max resolution with 16x CSAA multi-sampling and it ran amazingly swift.
Then I ran Splinter Cell Conviction on very high settings with anti anisotropic set to 16x no AA on 1366x768 resolution and its running very smooth except some cuts in frame rates when your watching the cinematics
Conclusion:Your card will have no troubles playing games and may run even better than mine