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This paper investigates analytical approximate solutions for a system of multipantograph delay differential equations using the residual power series method (RPSM), which obtains a Taylor expansion of the solutions and produces the exact form in terms of convergent series requires no linearization or small perturbation when the solutions are polynomials. By this method, an excellent approximate solution can be obtained with only a few iterations. In this sense, computational results of some examples are presented to demonstrate the viability, simplicity and practical usefulness of the method. In addition, the results reveal that the proposed method is very effective, straightforward, and convenient for solving a system of multi-pantograph delay differential equations., Comment: in Australian Journal of Basic and Applied Sciences, 2014