*What is Accomodating Resistance? It's training muscles at the optimum weight all the way through the lift, or overload training(training at a weight higher than your 1 rep max). The ways to accomplish this are with bands, chains or the Slingshot.
*Why should I use Accomodating Resistance? The biggest reason is CNS stimulation, strength is largely a product of your CNS and not so much muscle mass. The second reason is the ability to train your muscles optimally at every point throughout the lift, as we all know as your bones come into alignment your muscles have better leverage and therefore are in a better position to be stronger. The third reason is simply building confidence with a weight over you 1 Rep Max, just feeling it in your hands can be hugely beneficial to overcoming the mental block that we put on ourselves.
*Let's talk about bands simply because they are the most versatile and easiest to set up. We'll use the Bench Press as an example since that's always the locker room talk "how much ya bench". There are 2 different methods for setting up bands on the Bench: Band Resisted, and Band Lightening. Band Resisted is easy just hook the band around the collar of one end of the bar and run it under the bench then hook onto the other collar. For Band Lightening you'll need to set up your bench inside a Squat rack, you'll hook the bands onto the racks pins and have the bands hang loose at right around where your lock out will be. Band Lightening I feel makes for the best overload training and band resisted makes for good speed type training.
*Now let's talk the Conjugate Method briefly, the Conjugate Method basically just sates to never do the exact same workout (easiest way of explaining it). So the other advantage to bands is they give you tons of different workouts. If you have 3 sets of bands your capable of at least 24 different workouts just with band lightening and band resisted.
*6 Flat Bench
*6 Incline
*6 decline
*6 floor press
I'm writing this off the top of my head so if parts don't make sense or aren't explained well enough I think questions being asked will make this much easier for me to explain.