Queueing systems in which the server works on primary and secondary customers have gained significance due to rapidly growing computer and communication networks. Here an M/M/2 queueing system with vacations having general distribution is considered where one of the two servers takes a vacation when there are no customers in the system. The equations determining the stationary distribution of the embedded Markov chain are provided. Iterative scheme for their solution is described. Vacation time distribution is considered as negative exponential and numerical results for probabilities and expected numbers of customers in the system are obtained. The behaviour of the results is in conformity with the results obtained by previous authors by a different technique. The advantage of the present scheme lies in its simplicity to apply on the model.