An electronically slip-controllable braking system including an actuatable master brake cylinder, to which at least one wheel brake, associated with a wheel of a front axle and at least one wheel brake, associated with a wheel of a rear axle of a vehicle, are connected. An electronically activatable first actuator system sets and regulates brake pressures different from one another in the wheel brakes as a function of the particular present slip conditions. An electronically activatable second actuator system effectuates the setting and regulating of a uniform brake pressure at the wheel brakes and a third actuator system limits the brake pressure generated by the second actuator system at the wheel brakes associated with the wheels of the rear axle. The third actuator system controls a second pressure medium connection between the associated wheel brake of the rear axle and a pressure medium storage container.