how to solve a linear system with a maximum function

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 ?

[Rik]

max(x,y) can be rewritten to (x>y)*x+(x<=y)*y

syms x y
solve([x+y ==1,(x>y)*x+(x<=y)*y ==2])

But alas, this doesn't work either:

Error using mupadengine/feval (line 187)
System contains an equation of an unknown type.

[Fatima Hammoud]

thanks for your try, i appreciate that

[Rik]

Substituting the solutions, it indeed solves it, so you can add it as the answer, Torsten.

[Fatima Hammoud]

Rik , can you explain to me more ? did you find the solution ?

Answer 1

[Torsten]

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

Best wishes

Torsten.

[Fatima Hammoud]

Thank you sir for your help, but 'piecewise' is Undefined function or variable in Matlab , are you using MuPAD?

[Torsten]

Maybe you use an older MATLAB version ?

https://de.mathworks.com/help/symbolic/piecewise.html

Best wishes

Torsten.

[Fatima Hammoud]

That's weird i'm using R2016a !!

Any way, thank you.