Can I run a Dell laptop with a dead battery off another computer?
Unless you have a working power adapter for the dell laptop, or the power connectors are the same for both, you can’t really run one laptop from the power supply of another. If they were the same brand or model of laptop, perhaps, but in this case it’s doubtful. If you take the Dell down to your nearest tech parts store you should be able to pick up a suitable power supply. Somewhere near the power socket on the laptop, there should be information on what voltage and current the laptop takes, and the tech on hand should be able to find the correct socket to go into the laptop. If the voltage/current information isn’t on near the socket, it should be on a small sticker somewhere on the base of the laptop. Failing that, as SteveInMaine suggests, yank out the disk and put it in one of the cheap external USB drive enclosures to rescue the data off it.