You're much more likely to get help if you post the pictures right here on the forum so we don't have to go to another site. Here's a guide on how to do it:http://forum.arduino.cc/index.php?topic=364156I'll do it for you this time.Lawtown's pictures:What happens if you power the LED directly on the breadboard, instead of using the Arduino's digital pins to switch it (still use the current limiting resistor)?
You'll still be using the Arduino board to power the breadboard but you won't be using the microcontroller on the Arduino board to control the LED.Pull one of the yellow wires out of the Uno.Plug the yellow wire into one of the holes on the breadboard next to the red line (the 5 V power rail).Plug the USB cable of the Uno into your computer to power the breadboard.If your circuit is wired correctly the LED should now be on.When you're having a problem it's best to remove as much of the unnecessary complexity as possible for a sanity check. With the microcontroller in the mix you don't know whether the problem is with the LED circuit, the button circuit, or the Arduino sketch. You could spend a bunch of time troubleshooting all that only to discover the problem was something simple like a bad jumper wire or an LED plugged in backwards.