The invention concerns a slip-controlled brake system with a particularly reliable switching concept designed to prevent complete failure or overbraking of the rear brakes in the event of an electrical or electronic fault occurring. To this end, a control valve (3) (functional block F), which in its normal position is closed with no electromagnetic current, is connected into the main pressure line (2) in series with the rear-brake inlet valve (1) which in its normal position is open with no electromagnetic current, the control valve (3) having a bypass line (4) which is controlled in dependence on the brake pressure.