I plan on getting a new graphics card But I need to buy a new power supply first. My dell only has a 350 watt right now.
I have no clue how to overclock.
I think your E6600 at 2.4 GHz is good, u need a new card if you want more performance... Upgrade your PSU with minimum 500W and get a quality one like Corsair, Antec, OCZ, Seasonic, SilverStone... For the card, well, it depend on your monitor, what is your monitor resolution?
The Dell 350W has 30A on the 12V rail. You can run the GTS250 or 5770 on that PSU.
Good enough for maxing out at 1680X1050 and even 19X10 resolution
Yeah I would say so, but your video card is going to be your biggest setback right now. As is usually the issue. For the most part, processors these days will be fine for whatever, it will be the graphics processors that will be the major factor in determining how well you can run a game. The 7900 GS is a little dated at this point. The card was released late 2006 I think and Mass effect 1 came out in 2008. just looking at the dates will be a good indication. The recommended video card for mass effect is the geforce 7900 GTX, but recommended is usually for low to mid range performance anyway. Google "system requirements" for games to compare them with your system.
Click on this link to know how well your PC can run the game: