I don't see any pictures of the interior of that specific model, but aside from the fact that the card does not fit, did you replace the power supply? The stock power supply will not run a 970.
Another thing, seeing how the system came with an A10 CPU, the CPU is a bit too slow to run with a GTX 970 anyway.
For that system you can get a 750 Ti Will fit, no need to change the power supply and will match the A10 CPU better.