As the several people before me have stated, just don't do it. An 8 pin is rated for double the draw of a 6pin. Even if you had an extremely high quality PSU, that would be highly inadvisable. The fact that your PSU doesn't have an 8 pin connector is usually an indicator of not being able to support that kind of draw. There are plenty of 500W units out their that should really be listed as 350W or 300W units because they can't actually provide more than 300W on the 12V rail. Your PSU might be one of those.
When a PSU goes, it takes other components with it. A friend of mine blew out his PSU and it took the GFX card with it. Personally, I'm very risk averse and I wouldn't even consider anything short of a tier 3 unit (and have usually ended up buying a tier 1 unit) for my shiny new 970. An EVGA 600B (tier 3) goes for as little as 45USD, which isn't that expensive, especially considering the cost of the other components that you'll be protecting.
PSU Tier List
A few acceptable PSUs
In general, EVGA is pretty solid at this price point. Usually their budget offerings are cheaper than other quality PSUs, and they don't stick the EVGA logo on poor quality PSUs. IIRC only 1 or 2 of their older PSUs (NEXB comes to mind and that's it) have recieved poor reviews.