Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-6822Articles in Press20190731ON THE SYSTEM OF DOUBLE EQUATIONS WITH THREE UNKNOWNS d+ay+bx+cx^2 =z^2 and y+z=x^2395710.22075/ijnaa.2019.14412.1757ENMayilrangamGOPALANDepartment of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, IndiaS. AarthyThangamDepartment of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, India&Ouml;zen&Ouml;ZERKÄ±rklareli UniversityJournal Article20180407The system of double equations with three unknowns given by d+ay+bx+cx^2 = z^2 , y+z=x^2 is analysed for its infinitely many non-zero distinct integer solutions. Different sets of integer solutions have been presented. A few interesting relations among the solutions are given.