A system and method for simultaneously removing water and acid gases from methane in a single process without requiring dehydration prior to acid gas removal. A feed stream comprising these components and little or no hydrocarbons heavier than methane is separated in a series of separators, including an absorber column using methanol as an absorber. A treated methane stream comprising at least 90%, more preferably at least 95%, most preferably at least 99%, of the methane from the feed stream and an acid gas waste stream comprising less than 10%, more preferably less than 5%, most preferably less than 1%, of the methane from the feed stream are produced. Using methanol as a physical solvent allows removal of water and acids gases in a single step using substantially less energy than conventional separation methods. The system and method are particularly useful in treating landfill gas feed streams.