for loop maximize variable system of equations PLS help!!

how do you use a for loop to maximize a variable in a system of equations?

such as 3x + 2y = cos phi

4x - 3y = 2cos phi

find a phi that maximizes x for instance

Answer 1

[Walter Roberson]

I would not use a for loop.

syms x y phi
[solx, soly] = solve(3*x+2*y == cos(phi), 4*x-3*y = 2*cos(phi), x, y);
bestphi = solve(diff(solx(1),phi),phi);

Answer 2

[Torsten]

See my answer under

http://www.mathworks.com/matlabcentral/newsreader/view_thread/342257

Best wishes

Torsten.