In this problem, we are given the following separation system: F-10 26 We are interested in calculating the unknown mass flow rates of each outlet stream. To do so, we define the unknowns as x =F, X2 F, and x3 F. By setting up mass balances for (a) the total mass flow rate, (b) the mass flow rate of species 1, and (c) the mass flow rate of species 2, we obtain the following set of three linear algebraic equations for the three unknown outlet flow rates x x+ x = 10 0.04x, +0.54x, +0.26x,=0.2*(10) 0.93x, +0.24x =0.6*(10)