Abstract: A motor vehicle brake system actuated in brake-by-wire and fallback operating modes, having a brake master cylinder, brake circuits, a pressure medium storage vessel, a brake pedal, a separating valve for separating the brake circuit into a first section connected to the separating valve the master cylinder, and a second section connected to the separating valve and the wheel brakes. A first pressure provision device has a piston actuated by an actuator, a simulation device connected by a simulator release valve to the master cylinder for a pleasant brake pedal feel in the brake-by-wire operating mode. A first electronic control and regulating unit actuates the first pressure provision device, the separating valves and the simulator release valve. A second pressure provision device has a suction connector and a pressure connector per brake circuit being connected to the inlet of the separating valve.