A system and device for preparing a liquid beverage from a cartridge. The device includes a supply unit for supplying an injection fluid into the cartridge, a cartridge holder configured to accept and support the cartridge with the cartridge holder being detachable from the device. A complementary insertion mechanism of the device is configured to receive the cartridge holder in the device. The cartridge is positioned in the supply unit in an injection position with its injection surface substantially in an inclined plane relative to the horizontal plane and the injection mechanism is offset from the highest edge of the cartridge. The cartridge holder preferably comprises a linear wedge-shaped insertion member having a bearing surface inclined along an angle. The method of operation of the system and device are also disclosed.