Macbook 13"- Battery and backlight problem

I have a black macbook 13" from 2008. A couple months ago, the backlight quit working entirely. I was in the process of moving and didn't really take a closer look at it until now. I now see that the battery is also completely dead.

Is it at all possible that the bad battery is causing the backlight malfunction? Thanks in advance!

No. If the backlight is not working it's either due to a bad inverter or the backlight itself has failed. It could also be due to cabling but generally it's the inverter which is bad.

Thanks for replying! I thought it was probably wishful thinking.

Is the inverter relatively easy to replace?

Edit: Nevermind, I found a guide for it and it looks easy enough. Thanks again for putting me on the right track.