Brake system for a motor vehicle, having • a master brake cylinder which is able to be actuated by means of a brake pedal, • a first electrically controllable pressure-provision device, • a pressure-medium reservoir which is at atmospheric pressure, • a first brake circuit with a first brake-circuit-pressure-line section for connection to first wheel brakes (8, 9) and a second brake circuit with a second brake-circuit-pressure-line section for connection to second wheel brakes (10, 11), wherein the master brake cylinder is connected to the first and the second brake-circuit-pressure-line section (12a, 12b) and the first pressure-provision device is connected to the first and the second brake-circuit-pressure-line section (12a, 12b), • an inlet valve (6a-6d) and an outlet valve (7a-7d) for each first and second wheel brake (8, 9, 10, 11), • a low-pressure accumulator (65a, 65b) for each brake circuit (I, II), which is connected to the output connections of the outlet valves assigned to the brake circuit, • a second electrically controllable pressure-provision device with a pump (60a, 60b) for each brake circuit (I, II), the suction side of which is connected to the brake-circuit-pressure-line section and the low-pressure accumulator of the brake circuit and the pressure side of which is connected to the inlet valves of the wheel brakes assigned to the brake circuit, • wherein the input connections of the inlet valves (6a, 6b) of the first wheel brakes (8, 9) are connected to the first brake-circuit-pressure-line section and the input connections of the inlet valves (6c, 6d) of the second wheel brakes (10, 11) are connected to the second brake-circuit-pressure-line section, wherein the inlet valves and outlet valves (6a-6d, 7a-7d), the low-pressure accumulators (65a, 65b) and the second pressure-provision device are arranged in a second independent module, wherein the first electrically controllable pressure-provision device is arranged in a first independent module and the master brake cylinder and a simulation device are arranged in a third independent module, wherein the pressure-medium reservoir is arranged on the first module, characterized in that no pressure-medium reservoir is arranged on the third module. • a master brake cylinder which is able to be actuated by means of a brake pedal, • a first electrically controllable pressure-provision device, • a pressure-medium reservoir which is at atmospheric pressure, • a first brake circuit with a first brake-circuit-pressure-line section for connection to first wheel brakes (8, 9) and a second brake circuit with a second brake-circuit-pressure-line section for connection to second wheel brakes (10, 11), wherein the master brake cylinder is connected to the first and the second brake-circuit-pressure-line section (12a, 12b) and the first pressure-provision device is connected to the first and the second brake-circuit-pressure-line section (12a, 12b), • an inlet valve (6a-6d) and an outlet valve (7a-7d) for each first and second wheel brake (8, 9, 10, 11), • a low-pressure accumulator (65a, 65b) for each brake circuit (I, II), which is connected to the output connections of the outlet valves assigned to the brake circuit, • a second electrically controllable pressure-provision device with a pump (60a, 60b) for each brake circuit (I, II), the suction side of which is connected to the brake-circuit-pressure-line section and the low-pressure accumulator of the brake circuit and the pressure side of which is connected to the inlet valves of the wheel brakes assigned to the brake circuit, • wherein the input connections of the inlet valves (6a, 6b) of the first wheel brakes (8, 9) are connected to the first brake-circuit-pressure-line section and the input connections of the inlet valves (6c, 6d) of the second wheel brakes (10, 11) are connected to the second brake-circuit-pressure-line section, wherein the inlet valves and outlet valves (6a-6d, 7a-7d), the low-pressure accumulators (65a, 65b) and the second pressure-provision device are arranged in a second independent module,