A combined brake system and method, for a two-wheeled motor vehicle, is capable of synchronizing a braking operation of either a front or rear wheel with a braking operation of the other wheel. The brake system enables a rider to perform braking operations in which the rider feels no little or no discomfort. The system includes a pair of hydraulic pressure modulators for supplying hydraulic pressure, generated by an electrically-operated actuator, to front and rear brake calipers, respectively. A controller electrically controls each hydraulic pressure modulator in response to a riding condition for the vehicle and in response to a braking operation applied by the vehicle operator.