Why do you think (you even write know) it's not compatible?
The PSU could be an issue. Those ready made PC's tend to have a PSU that is sufficient for the hardware they have, but - especially after 8 years - might not be enough for a new video card (the old Radeon isn't a separate card, but just a chip on the motherboard).
With a new motherboard, you'll need a new CPU, new RAM and maybe a new Windows 10 license also. It might be cheaper to buy a new PC then. You can reuse the optical disk and the hard disk (for extra storage or external backup) in a new PC if you want.
Hi, I would like to run a GTX 1050ti on my PC. I know it will not be compatible but I am not sure what to do to fix that. Do I need to get a new motherboard?
Intel Core i7 2600s 2.80GHz CPU
Radeon HD 6570 graphics card
8 GB of ram is installed
My PC is h8 1020