In general, solution of electric networks requires both node and loop analysis, in which node pair voltages and loop currents are treated as network variables, but the conjugate quantities of these variables (the branch currents and node pair voltages respectively) are to be obtained through additional solving operation. In case of networks with magnetic coupling, however, the coupling keeps the conjugate variables mutually dependent and its final solution requires further calculation. In this paper is analyzed the method of obtaining the conjugate quantities through treatment of the problrm in a subspace with dimensions of number of magnetically coupled branches.