If you substitute the weights w1 and w2 you found, either in Excel or using matrices, into the left - hand side of
the original system of equations or the matrix equation (in statistical parlance, you're calculating the linear predicted values)
I am a fan
of Tomas Milanovich and he has made some comments on your paper both during the
original peer review stage and now, and I believe that his point that your
system of equations should have been extended so as to ensure that most
of the relevant variables have been specified and for a sufficient number
of equations so that each variable may be solved mathematically.