Can you cut weight and fat by only doing push-ups and eating right?

[Bushck]

To get lean, you must burn calories and eat fewer calories.

Doing pushups is a terrible way to burn calories. It does but not very many. The pushup uses the muscles in your arms and chest. These are small muscles and tire easily. A very poor way to burn lots of calories. You want to use big strong muscles that can be kept working for a significant time. Running, cycling, swimming, aerobics, etc.

Next comes food. Your objective in a weight loss diet is to reduce calories. Great if you can do that with healthy food but calorie reduction is the number one priority. In generally that means food quantity reduction.

So, forget the pushups and run or cycle. As far as you can and keep it up for an hour if you can.

When you finish, drink water. Forget healthy foods and concentrate on eating the minimum you need to run for an hour and eat less so your running must get energy from surplus fat on your body.

[SuffolkPunch]

If you do this, you will lose muscle from areas you don't exercise adequately with resistance.

I don't recommend trying to get lean without full body resistance training. Pushups only train chest and triceps. Cardio doesn't do a good job of preventing muscle loss because it doesn't adequately stimulate muscles.

Also, what's this nonsense about "forget healthy foods"? If you get ill or you don't eat enough you will lose muscle.

I suggest doing some more reading before posting advice again.