It may just be I am searching using the wrong terminology, if so direction of where to look would be greatly appreciated too.EDIT: To add some more information, the initial problem involved four equations.
Where K and X values are given constants, and x and y values are unknown. I am trying to find a solution that maximises the sum of the y values.
It is from this problem that I simplified it to
With the first equation in the initial question just being arbitrary values.