Three of the elements in the solution set of the simultaneous system
\( x^{x+y} = y^4, \qquad y^{x+y} = x \)
are ordered pairs of integers (x, y). Find these ordered pairs.
Try these: (1,1) (1,-1) (-1,1)
Mhm. A little tight at the ends, do you have one thats size 11?
