Is there a way to include the inequalities of variables in calculating family of equations while solving under determined simultaneous linear equations?
For Eg: Lets say x + y = 4, y + z = 4.
But I also have the additional information that x and y are unequal and y and z are unequal. How can I make use of this extra information? Is there a way to include this information in the matrix while calculating reduced Echelon form to family of solutions.