Can I lose weight by walking and strength training?

Definitely....You should do cardio for about 30minutes a day so 45 minutes of walking is good and one of the best ways to lose weight is by gaining muscle since it raises your metabolism and BMR so you burn more calories while resting...sounds like a good plan good luck and don't quit on it and you'll accomplish your goals i lost 40lbs in 4 months because of my weight training and 30 minutes of cardio and of course eating healthier but not starving myself