MATLAB: How to solve a linear system with a maximum function

Question

just i want to know how we solve this system:

 x+y = 1
 max(x,y)=2

i tried this code but an error always appear:

syms x y
solve(x+y ==1,max(x,y)==2)
//Error using sym/max (line 97)
Input arguments must be convertible to floating-point numbers

any help ?

Answer 1

syms x y
[solx, soly] = solve([x+y==1,piecewise(x>y,x,y)==2],[x y])

Best wishes

Torsten.