I am trying to solve the following system of equations in maple but it doesn't work for some reason:
solve({ a*(1-x)-x*f-x*e = 0, b*(1-x)-x*c-x*d = 0, c*(1-z)-z*b-z*a = 0, d*(1-z)-z*e-z*f = 0, e*(1-y)-y*d-y*c = 0, f*(1-y)-y*a-y*b = 0, a+b+c+d+e+f-1 = 0 }, {a, b, c, d, e, f })