Would you lose weight just by eating minimally without exercising?

At first, yes. However, two things will occur in a very short time: 1) Your body will naturally assume the lack of nutrition is starvation and will start to take measures to protect itself. 2)This can result in a loss of muscle as it is broken down by your body to nurish yourself. It is best to eat several small meals throughout the day and do just a small workout like walking 2,000 steps a day.