It is absolutely possible to stay the same weight or gain a little if you are weight training and
all at the same time losing inches....
This picture of Fat vs. Muscles
says it all I think, the fat (yellow) is LARGE
and weighs 5 lbs. the muscle (red) is small
and weighs 5 lbs also ...Hence why you would weigh the same if your are weight training but be losing inches and be smaller ... Which is a really good thing