The system (10) has a base i.e. U-profile body (12), for a guide rail (14) that is connected with the base by a tension-loaded connection (26, 27). A distance-variable tensioning device (38, 39) is provided between the base and the guide rail, where the tensioning device counteracts tensile load. The guide rail has a retainer for an upper-side or lower-side guiding device of a movable wall part (20) e.g. transportation carriage (18). An independent claim is also included for a mobile wall system comprising a mobile wall part.