The translation method of determining phase equilibria and construction of phase diagrams for multi component systems was applied to investigate the phase equilibria in two quaternary Na, NH4//SO4, Cl-H2O (at 100 degrees C, 10 degrees C) and Na2SO4-K2SO4-MgSO4-H2O (at 35 degrees C) and three quinary Li, K//Cl, CO3, B4O7-H2O (at 0 degrees C), Na, K//Cl, SO4, B4O7-H2O (at 50 degrees C), and Na, K//Cl, CO3, B4O7 - H2O (at 25 degrees C) water salt systems. The comprehensive closed phase equilibria diagrams for each of the systems were constructed at the relevant temperatures. The constructed diagrams for the quinary systems were fragmented into trivariant crystallization volumes for each of the available individual solid phases in the systems. The available experimental results on each of the three investigated quinary systems compose only a portion of the phase equilibria data obtained by us using the techniques of translation method. Comparison of our results with the available literature data for the two quinary Li, K//Cl, CO3, B4O7-H2O (at 0 degrees C) and Na, K//Cl, SO4, B4O7-H2O (at 50 degrees C) systems shows agreement.