MacBook Air won't turn on, charger appears to be working

"This is probably due to the OS crashing. If your sure the battery’s working *try double checking?* hold down the power button for 10 seconds. Or you could reset the firmware:

Plug in the power cable. Along with the power button, press Shift + Control + Option  key at the same time. Release all the four buttons at the same time. Press the power button and see if your Mac turns on.

If none of this works try getting in touch with a service executive"

"This is probably due to the OS crashing. If your sure the battery’s working *try double checking?* hold down the power button for 10 seconds. Or you could reset the firmware:

Plug in the power cable. Along with the power button, press Shift + Control + Option  key at the same time. Release all the four buttons at the same time. Press the power button and see if your Mac turns on.

If none of this works try getting in touch with a service executive"

I have just come across this problem as well. I’m not sure if you’ve noticed but your Macbook may run so quietly, when turned on, that you don’t notice it’s on. You can try the control+alt+shift+power button for 10 seconds. When you let go the computer will be shut down completely. Press down on the track pad and you will notice it has no give. Press the power button and try pressing down on the trackpad. If you feel it click a little, that means the Macbook is turning on. Chances are the display is dead at this point. Easiest and cheapest thing you should try is connecting it through HDMI to a display or TV. If it comes on, this reinforces the fact that the display is dead. You can just use a display/TV, which will inevitably make it an at home computer instead of a take anywhere you want laptop. That is the cheap option, as you can also purchase a display for it to replace the current screen. This may come out to $400-$500 depending on your model though.