At first it has to be said that this is NOT a system of equations! Its just one equation in one variable which you defined using some helper functions m and n.
I guess that you posted a simplificated version of your real problem and so I was not sure, if the guess value for x should be the same for any y or if you really want to provide a different guess for every value of y - so I provided both versions.
If you want to evaluate a solve block for different input values its always the best solution to write the solve block for a single scalar input variable (in your case y), turn it into a function (!!) and then call that function with a vector of inputs. That function call should be vectorized to be on the safe side.
Here is the solution using the same guess x=0 for every value of y:
And here is the modification which allows you to provide the guess value as additional function argument. In your example there are always two solutions and it depends on the guess value which one you get:
Of course your simplified equation could easily be solve symbolically which gets you both solutions for every value of y at once:
Regards Werner
