Too many misconceptions here. First of all, get that “tone” out of your head. That doesn’t exist. If by tone people mean seeing the muscles contract, move and expand through the skin, not as in bodybuilding style but as in general athletic condition, that can only be achieved by having a low body fat and by building more muscle. This also applies to looking “tighter” or, in general terms, in shape.
Elastic bands don’t build muscle. Up to a point, they might help with strength and stimulating those red muscle fibers, but once you get used to them it will do no more good. As far as anaerobic exercise goes, they won’t help you lose any significant fat either. And, depending on how you train, they might do nothing to you or do exactly the opposite of what you intend to do. With high repetitions and little resistance you will stimulate the white muscle fibers in your system and adapt your central nervous system at doing this. Thing is, your white muscle fibers don’t grow like the red ones do and, because of this, won’t make you look any better or demand more calories from your body (not as many as the added muscle would).
I answer no to this question posed by you: Can elastic be used instead of free weights? No, because they serve different purposes. It’s usually the swimmers and the marathon runners at my gym who use them because it’s a very good complementary exercise for them. For the rest of us, the ol’ good strength training will work.
Regardless of whether you’re male or female, what it seems to me you’re looking for is this: You want to “get in shape”, lose fat, gain definition. Aerobic exercise, strength training, and a smart diet will do the trick. Replace all fatty food, that goes without saying, and get a good grip on quality carbs. Don’t cut your calories in half, unless you’re being extreme with your current eating habits. You will need them for the training you’ll do. Up your protein, what you can (same as with the carbs, you’re not a bodybuilder and hardcore diet is not a concern of yours, but eating smarter and healthier progressively will help you with your goals). Spread your meals to 4-6 times a day, prefer eating a small meal every two hours or so to eating really big 2 times per day. Do an hour of cardio, if you can, the days you’re not lifting. And, as far as strength training goes, do a three day split, full-body workout. On Monday you can work chest and biceps. Wednesday, back and shoulders. Friday, legs and triceps. Start slowly, at 50-60% body strength and, after 4 weeks, move up to 75-80%, with 8-10 repetitions and be wary of good form. Yes, with free weights.
I’m not a gym rat. I’m a gym whore.