A brake system may include a brake booster, the piston-cylinder system of which is driven mechanically or hydraulically by an electric motor, in particular by means of transmission means, at least one working chamber of the piston-cylinder system being connected to at least two wheel brakes via hydraulic lines, each wheel brake being associated with a 2/2 distribution control valve and the hydraulic connecting lines between the wheels brakes and the piston-cylinder system being selectively disconnectable or jointly closable by means of the 2/2 distribution control valves such that in the wheel brakes a pressure can be adjusted consecutively in terms of a multiplex method and/or simultaneously, the electric motor and the control valves being actuated by a regulating device, characterized in that the regulating device calculates the respective pressure in the wheel brakes by means of a pressure model and transmits the calculated pressure values to at least one ABS-ESP regulator and to a pressure regulating device, wherein the pressure regulating device actuates at least the 2/2 distribution control valves and the electric motor, and a prioritization device performs a wheel selection on the basis of the data transmitted by the ABS/ESP regulator and transmits it to the pressure regulating device.