GPU Crashed during a game, and now my PC will not start.

[nonokerby]

Hi, recently my PC crashed and would not turn on. I tried turning it on and found out that the fans would run for about 2 seconds, then the whole PC's power would die. I tried troubleshooting, and it's not the two 6 pin connectors. I tried putting another GPU in the same PCIe slot, and the PC worked fine. So I figure it could be something wrong with the GPU's motherboard connector.
Any help is appreciated, and I will be able to respond with results for the next two hours. Much obliged.

PC SPECS

EVGA GeForce GTX 970 GAMING ACX 2.0 (Broken GPU)
GIGABYTE GeForce GTX 660 Windforce (Replacement Card)
Intel(R) Core(TM) i7-4770 CPU @ 3.40GHz
2x8GB Sticks of HyperX DDR3 Ram
Microsoft Windows 10 (build 10586), 64-bit

 

[hang-the-9]

If a different video card worked, the card is likely dead, unless it's the power supply. Test your bad card in another system with a good power supply.