Have to disagree with people who say you do one and not the other.
Building muscle, without changing your diet, will cause changes in your body that will reduce the impact of what you eat. A pound of muscle takes ~100 calories a day to survive, a pound of fat ~10. It also changes your body in other, more subtle ways.
Serious low-carb dieters (as opposed to people who just binge on meat instead of cake) often do weight-training. (Especially women!)
They eat 11-15 calories/lb of current body weight, with lots of protein, which sustains them healthily and creates a caloric deficit. (And the ketosis helps.)
"A pound of muscle takes ~100 calories a day to survive"
This defies math when on the order of 1/3rd of your weight is muscle. The more commonly cited value is 50 calories a pound, and even that appears too high.
Building muscle, without changing your diet, will cause changes in your body that will reduce the impact of what you eat. A pound of muscle takes ~100 calories a day to survive, a pound of fat ~10. It also changes your body in other, more subtle ways.
Serious low-carb dieters (as opposed to people who just binge on meat instead of cake) often do weight-training. (Especially women!)
They eat 11-15 calories/lb of current body weight, with lots of protein, which sustains them healthily and creates a caloric deficit. (And the ketosis helps.)