A brake system for a motor vehicle, having a brake pressure source and at least one first wheel brake and at least one second wheel brake, which can be acted on with a brake pressure supplied by the brake pressure source. The first wheel brake is fluidically connected at a first inlet valve and at a first outlet valve, which is fluidically parallel to the first inlet valve, and at a first separating valve via the first inlet valve, and the second wheel brake is fluidically connected at a second inlet valve and at a second outlet valve, which is fluidically parallel to the second inlet valve, and at a second separating valve via the second inlet valve.