This research amplifies an environmentally-friendly refrigeration system which works by the combination of an ideal vapor compression system with a single-effect absorption system. At this hybrid absorption/recompression system, a booster compressor has implemented between the generator and condenser of absorption system and by adjusting pressure ratio tried to reach to the absolute heat transfer between generator and condenser coils in order to improve the efficiency of system and avoid the heat dissipation in condenser. This system has some advantages such as being environmentally-friendly, removing the need for the bulky condenser, and having about four-fold more efficiency than conventional absorption system. The objective of current study is to accommodate a quantitative description of the hybrid system to reach the optimum matching temperature of the generator, condenser, and evaporator. Furthermore, irreversibility and exergy destruction for different components of the system have been calculated and demonstrated that maximum exergy destruction occurs at condenser and generator. It is concluded that in generator temperature of 60 degrees C for the hybrid system, coefficient of performance becomes maximum (4.4) and the total exergy destruction is minimum. Non-crystallization working range of the hybrid system occurs at low generator temperature in comparison with single-effect absorption system.