Braking system comprising: - an electromechanical brake (EMB2, EMB4) on each wheel of the rear axle of a vehicle; - two brake circuits (BC1, BC2) having brake circuit line (BL4, BL5) for at least one hydraulically acting wheel brake cylinder (Wb1, Wb3) of the front axle of the vehicle, - wherein each hydraulically acting wheel brake cylinder (WC1, WC3) may be connected via a switching valve (SV1, SV3) assigned to it to its brake circuit (BC1, BC2) or its brake circuit line (BL4, BL5), wherein the pressure build-up (P up) in the hydraulically acting wheel brake cylinders (WC1, WC3) takes place via the assigned switching valves (SV1, SV3) and the pressure reduction (P down) takes place in at least one, in particular all, hydraulically acting wheel brake cylinders (WC1, WC3) via the switching valve (SV1, SV3) assigned to it, - a pressure supply device, wherein a pressure build-up (P up) takes place or may take place via the pressure supply device via a brake circuit (BC1, BC2) in each of the hydraulically acting wheel brake cylinders (WC1, WC3), - a master brake cylinder, which may be actuated by an actuating device, in particular in the form of a brake pedal, having only one working chamber, wherein said working chamber is connected via a hydraulic line (HL2, HL3) directly to the brake circuit line (BL4, BL5) of a brake circuit (BC1, BC2), - a control and regulation device for controlling the pressure supply and the electromechanical brakes (EMB2, EMB4), - wherein a switching valve (FV, BP1, BP2), in particular a normally open switching valve, serves to selectively close or open a connection of the hydraulic line to a brake circuit (BC1, BC2, BC3), and/or a circuit isolating valve (BP1, BP2, TV) for selectively closing or opening the hydraulic line between the pressure supply and the main brake cylinder or between the pressure supply and a brake circuit (BC1, BC2, BC3). - an electromechanical brake (EMB2, EMB4) on each wheel of the rear axle of a vehicle; - two brake circuits (BC1, BC2) having brake circuit line (BL4, BL5) for at least one hydraulically acting wheel brake cylinder (Wb1, Wb3) of the front axle of the vehicle, - wherein each hydraulically acting wheel brake cylinder (WC1, WC3) may be connected via a switching valve (SV1, SV3) assigned to it to its brake circuit (BC1, BC2) or its brake circuit line (BL4, BL5), wherein the pressure build-up (P up) in the hydraulically acting wheel brake cylinders (WC1, WC3) takes place via the assigned switching valves (SV1, SV3) and the pressure reduction (P down) takes place in at least one, in particular all, hydraulically acting wheel brake cylinders (WC1, WC3) via the switching valve (SV1, SV3) assigned to it, - a pressure supply device, wherein a pressure build-up (P up) takes place or may take place via the pressure supply device via a brake circuit (BC1, BC2) in each of the hydraulically acting wheel brake cylinders (WC1, WC3), - a master brake cylinder, which may be actuated by an actuating device, in particular in the form of a brake pedal, having only one working chamber, wherein said working chamber is connected via a hydraulic line (HL2, HL3) directly to the brake circuit line (BL4, BL5) of a brake circuit (BC1, BC2), - a control and regulation device for controlling the pressure supply and the electromechanical brakes (EMB2, EMB4), - wherein a switching valve (FV, BP1, BP2), in particular a normally open switching valve, serves to selectively close or open a connection of the hydraulic line to a brake circuit (BC1, BC2, BC3), a circuit isolating valve (BP1, BP2, TV) for selectively closing or opening the hydraulic line between the pressure supply and the main brake cylinder or between the pressure supply and a brake circuit (BC1, BC2, BC3).