Will resistance training burn fat?

Slightly: All exercise consumes calories but not as much as once thought. Resistance training is used primarily to build up muscle.

Even better: it will have you NOT lose muscle. While the calories burned from exercise is not necessarily all that much (200-600 calories per hour; very hard to measure on resistance) if you have net calories out by starvation, mostly you lose muscle. With resistance, its fat. https://www.kickstarter.com/projects/1775472781/devils-diet maybe helpful, certainly entertaining.