Braking system for a motor vehicle and motor vehicle

The invention relates to a brake system (1) for a motor vehicle with an at least single-circuit brake master cylinder (2) by means of which upon actuation of a braking force can be imposed on at least one wheel of the motor vehicle. It is provided that the brake cylinder (2) is mechanically decoupled with one of a brake setting detection means (24) intensifier cylinder (8) is operatively connected, which is controlled according to a means of the brake requirement detecting means (24) detected driver's request hydraulically to the actuation of the brake cylinder (2). The invention further relates to a motor vehicle with a braking system (1).