Should i eat the same amount of Calories that i burn to lose weight. Ex. if i burn 600 i should eat 600?

That's the equivalent of starving yourself. Your body already burns a certain amount of calories (BMR) based on your weight, height, and lifestyle. You can do that, and yes, you probably will lose weight. I've done it in the past, but you will gain some back once you start trying to eat normally again. Make sure you drink plenty of water and you can avoid that somewhat... But it would be better if you looked up your BMR and calculated that into your diet plan. That way you can lose weight (more slowly, maybe) but keep it off effectively.