I've been needing to upgrade my computer for awhile. Right now, I just need some adjustments so that I can play games like minecraft and league of legends decently. Here is my current build:
Motherboard: msi fm2-a75ma-e35
RAM: 2gb ddr3 single channel @ 698 mhz
Video Card: GeForce 8400gs
Processor: AMD A10-5700 apu
What changes should I make to play these games while spending under 200 dollars?
Yes you are in BAD need of much better RAM. Even 2x2GB of 1866mhz RAM would be a HUUUUUUUUUUUGE improvement. Scrap the 8400GS for sure.
I don't normally recommend running dual graphics, but you could get a HD6670 and give it a try. Some people are very happy with dual graphics and some people are not. I think it depends on expectations.
That A10 with fast RAM should handle 720p gaming just fine. If you are attempting 1080p then you will need a much better video card like the GTX750ti mentioned above.