The invention relates to a system which is used to cool at least one piece of motor vehicle equipment to a low temperature, comprising a heat transfer fluid circulation loop. According to the invention, a low-temperature heat exchanger (60) and at least one equipment exchanger (102) are mounted to the aforementioned circulation loop. The heat exchange surface of the equipment exchanger (102) is divided into at least first and second heat exchange sections (104,106). A first flow (Q 1 ) of heat-transfer fluid passes through the first heat exchange section (104), while a second smaller flow (Q2) passes through the second section. The invention is suitable for motor vehicle heat exchangers.