Please explain. Thanks

Problem 1. (15 pts.) Consider the relation R on the positive integers defined by the following recursive definition: . (1, 1) E R. . If (x, y) ER, then (x, y + x) E R and (y, y) E R. 1(a). (10 pts.) Is R an equivalence relation? Either prove R is an equivalence relation or explain why it is not. 1(b). (5 pts.) Is R transitive? Justify your