Older gpu and newest gpu,wich driver?

Hi guys, I wuold to buy a gtx 10x0 only for CUDA render required 367.44 driver(second slot pci,no monitor), but I have an old gpu( first slot pci,monitor connected) required driver 340.98.
My O.S. is ubuntu 16.04 lts, is it possible to work fine with this configuration? Problem with driver? Anyone has this experience?

I think one slight possibility, if any, would be to use the nouveau driver with the old gpu and the nvidia binary with the new one. But still I wouldn’t know how to make that work. So I’d rather guess it’s not possible.