I didn't note your having a graphics card. Isn't the R7 listed in the above link just the integrated graphics?
If my hunch is correct, you could try a discrete graphics card if your build has room. Other details seem to indicate this may be a Lenovo prebuilt?
These chips also benefitted from really fast RAM, but that may be limited by the motherboard. Considering the age of the system I would not spend anything towards trying to improve it rather than putting towards even a more powerful used system.
Do you have any manner of budget for upgrading?
Do you have the specific model information of the PC you are asking about?