What the others have said. Never eat under 1200 calories.
I think it's possible to lose weight without exercise. What I've done (although I've done this keeping my exercise in mind) is calculated my maintenance calorie allowance. Go to this site (if there are any ads on it I can't see them, I use ad blocker): Put in your details (metric or imperial), get your BMR, then follow the link to calculate for exercise level. That's the amount of calories you need to stay your current weight. If you reduce that number by 500 (don't do that if that's going to take you under 1200), and that's the amount on average you eat a day, then you should lose a pound a week. You can decrease by up to 1000 (as long as that number is over or equal to 1200) to lose 2 pounds a week, but ultimately I don't think that it's realistic for most people to be able to do that (and stick to it) and stay satisfied and eating a healthy balanced diet.
But exercise definitely helps with that (and other things, like health, but let's keep it to weight loss). For example, my BMR is 1538.9. If I were completely sedentary, my maintenance would be 1847 (rounded to nearest calorie) calories a day- that's not a very big number, and then to lose a pound, I'd need to eat 1347 calories a day. I've been calorie counting since the beginning of the month, and trust me, that would be really hard to maintain. If I were lightly active (light exercise/ sport 1-3 days a week), my maintenance would be 2116 calories, and so to lose a pound a day I'd need 1616 calories, which is easier to maintain, but doesn't give you a lot of wiggle room. As it happens I'm moderately active (moderate exercise/ sport 3-5 days a week), so my maintenance is 2385, making my calorie goal to lose a pound a week an easily attainable 1885 calories a day. I can eat that much and be more than satisfied (providing I make filling choices that are low calorie), and still have a varied, balanced, and healthy diet.
Also, how are you calorie counting? Are you weighing/ measuring and going with the nutritional information exactly, approximating, or guessing? I find it very difficult to believe you've been eating under 900 calories a day- my (low calorie, portion controlled) 3 meals a day usually clock in at least 1100 (not including snacking, which I find a very important part of my diet). I'm not trying to be insulting- most people have no idea how many calories are really in things (bread is surprisingly calorific, for example, and a lot of people have no idea how many calories are in cheese). If you haven't been seeing weight loss, maybe you need to re-think how you calorie count. (And if you are eating that little, and not losing weight, it's because you're making yourself sick)
Re exercise, forget that machine- it won't help you. Do the same walk, but walk for an extra 10-20 minutes past the salon and back again.
