mixed system of equalities and inequalities, for example: x + 2 y + 3 z...
mixed system of equalities and inequalities, for example:
where unknown variables are all real-valued.
How can get a solution (or the range of all feasible solutions) for this system?
Answer & Explanation
Multiply the first equation with 2, the eq.1 and eq. 2 read:
Subtraction gives: hence
From the first eq. we now derive Thus the Third eq. becomes: or
Consequence: the set of solutions is given by:
I see, thank you. My problem is my system is usually composed of M equations and N inequalities (and M+N variables) where both M and N can be very large, making an analytical solution potentially tedious