It depends on which cards you're using. In any case, it shouldn't crash.
The bios will generally have a setting for which slot to use as primary, which will the the only card the system uses until drivers initialize the other.
If you've got two ATI cards, both cards will usually work well after you install the ATI drivers. With two nvidia cards, both cards will be recognized once you install the drivers, but sometimes nvidia control panel won't recognize the monitors on the second card and you have to spend some time messing with it to make it happy.
If you try an ATI and an nvidia together, it might work, but no guarantees. I was able to get all the monitors working with an ATI and nvidia together, but I couldn't get direct3d to enable on the secondary card. However, plenty of people have, so I can't say what the problem is.