The set of hybrid numbers is a noncommutative number system that unified and generalized the complex, dual, and double (hyperbolic) numbers with the relation ih =−hi=ε+i. Two hybrid numbers p and q are said to be similar if there exist a nonlightlike hybrid number x satisfying the equality x−1qx = p. And, it is denoted by p∼q. In this paper, we study the concept of similarity for hybrid numbers by solving the linear equations px = xq and qx−xp = c for