Instructions
Drop items from your inventory to reduce the amount of weight encumbering your character. You will need to drop enough items to bring your current weight load underneath your weight limit. Access your inventory in your PIP Boy.
Eat any consumables in your inventory that add a positive strength modifier to your character. This will temporarily raise your strength statistic and raise your weight limit, enabling you to carry more items.
Sell items frequently to merchants to keep the amount of items in your inventory to a minimum. Keep an eye out for traveling merchants, as using them can save you a long trip back to Megaton.
Loot only items with a high value-to-weight ratio. This will not only help ensure that you do not go over your weight limit, but it will also help to make you lots of in-game money.