A hybrid system of levitation is considered. It is based on the use of electrodynamic forces of repulsion and attraction. For the case of the working tracks consisting of plates of infinite size, an exact solution is given for the magnetic field and electromagnetic forces. It is shown that, in particular cases, these solutions yield results that have been obtained earlier by other authors for a repulsion system of levitation. The problem considered has some relation to the problem of contactless suspension of a vehicle under low-speed conditions.