Remove all cables from the motherboard except for the ones from the power supply and the cable to the front on/off buttons. Remove all ram. Try to boot. If you get any screen at all, that is further than before and there may be hope for your mobo.
If you did get a screen, start putting stuff back on gradually 'til you find what the problem is.
If you did not get anywhere with the above, you'll need to rule out the power supply. If you can borrow one from someone else just for testing purposes, great. If you have a multimeter, you can test the voltages coming to the mobo according to the pinout found here or elsewhere (just search "atx power supply pinout". If a different PS works or the voltage test fails, your fixed by simply buying a new power supply.
If the PS is not the root cause, you can do as pkaeding suggests and just recover your data. Another option (if you really want to keep your system as it was) would be to find the p/n on your mobo and see if you can find one on Ebay. It would depend on how much you want it back and how long your willing to wait. The ebay option would be way cheaper than dropping $400 on a new system.