Brake system for a vehicle, wherein the brake system has at least: a rear-axle brake circuit for wheels (HA1, HA2) of a rear axle of the vehicle; a front-axle brake circuit for wheels (VA1, VA2) of a front axle of the vehicle; a brake valve which is to be actuated by the driver and which, as a function of its actuation, connects through or releases brake pressure to the brake circuits (20, 22), ABS solenoid valves (13, 14) for performing ABS control at brake cylinders (4, 5) of at least one of the wheels (HA1, HA2) of the rear axle, wherein the ABS solenoid valves (13, 14) are connected to brake cylinders (4, 5) of the rear axle via brake lines (34, 35), and a control device which actuates the ABS solenoid valves (13, 14) of the rear axle to carry out an ABS control process and to carry out an electronic brake load control process to shut off the ABS solenoid valves (13, 14) of the rear axle when a sufficiently high brake pressure is detected, wherein a feedback control line (36; 36-1, 36-2, 36-3) is led to a control input of the brake valve from at least one brake line (34, 35) of the rear axle, a brake pressure in the front-axle brake circuit can be changed as a function of the application of brake pressure of the control input of the brake valve, and an additional circuit (38, 39, 40, 42, 44, 50, 52, 54), which blocks feedback of brake pressure into the at least one brake line (34, 35) of the rear axle at least in the event of a drop in pressure in the brake line (34, 35) by means of an ABS control process, is provided in the feedback control line, wherein the additional circuit has a first non-feedback valve which blocks feedback of brake pressure into the at least one brake line (34, 35) which is connected to a brake cylinder (4, 5), characterized in that the brake system has a second non-feedback valve for reducing pressure and/or venting the feedback control line (36, 36-2, 36-3), wherein the first non-feedback valve is connected between the second non-feedback valve and the brake line, and wherein the second non-feedback valve blocks in the same direction as the first non-feedback valve. a rear-axle brake circuit for wheels (HA1, HA2) of a rear axle of the vehicle; a front-axle brake circuit for wheels (VA1, VA2) of a front axle of the vehicle; a brake valve which is to be actuated by the driver and which, as a function of its actuation, connects through or releases brake pressure to the brake circuits (20, 22), ABS solenoid valves (13, 14) for performing ABS control at brake cylinders (4, 5) of at least one of the wheels (HA1, HA2) of the rear axle, wherein the ABS solenoid valves (13, 14) are connected to brake cylinders (4, 5) of the rear axle via brake lines (34, 35), and a control device which actuates the ABS solenoid valves (13, 14) of the rear axle to carry out an ABS control process and to carry out an electronic brake load control process to shut off the ABS solenoid valves (13, 14) of the rear axle when a sufficiently high brake pressure is detected, wherein a feedback control line (36; 36-1, 36-2, 36-3) is led to a control input of the brake valve from at least one brake line (34, 35) of the rear axle, a brake pressure in the front-axle brake circuit can be changed as a function of the application of brake pressure of the control input of the brake valve, and an additional circuit (38, 39, 40, 42, 44, 50, 52, 54), which blocks feedback of brake pressure into the at least one brake line (34, 35) of the rear axle at least in the event of a drop in pressure in the brake line (34, 35) by means of an ABS control process, is provided in the feedback control line, wherein the additional circuit has a first non-feedback valve which blocks feedback of brake pressure into the at least one brake line (34, 35) which is connected to a brake cylinder (4, 5), characterized in that the brake system has a second non-feedback valve for reducing pressure and/or venting the feedback control line (36, 36-2, 36-3), wherein the first non-feedback valve is connected between the second non-feedback valve and the brake line, and wherein the second non-feedback valve blocks in the same direction as the first non-feedback valve.