Looks to me you are running dated technology there. And from the looks of the min. specs for battlefield 3 you might be able to run it, but not have very good performance. I will give you a good, better, and best for you. Since I'm unsure of your computer savviness, I will try to explain my thoughts a little.

Good: upgrade to a better video card (1 to 2 gigs),
I personally like ev3a. Make sure it fits your pci port on motherboard.

Better: Upgrade RAM as well. Many 8 gig kits are actually reasonably priced. I run G Skill in my rigs and never have trouble. Again be sure to use the correct port.

Best: Upgrade all 3. For the sake of future gaming a handpicked computer should last a while. AMD makes well priced pc processors, but most gamers and me prefer Intel. I start on newegg or tigerdirect and build my dream computer starting with the processor and slowly downgrade what i dont really need, until im close to disired budget and/or performance.

I hope this helps

Hmm,you could keep the ram and upgrade the gpu and pcu pentium isnt really good for gaming,hope this helps saying that 8gb of ram only costs about 50 or so..

smalltyl96 wrote processor : pentium (r) dual core CPU e6700 @3.20 ghz (2CPUs) ~3.2 ghz.

You dont have 2 CPUs you have one CPU with 2 physical cores