SOLUTION: x^logy + y^logx = 2 x^logx + y^logy = 11 find x = ?, y = ?

Algebra ->  Test -> SOLUTION: x^logy + y^logx = 2 x^logx + y^logy = 11 find x = ?, y = ?       Log On


   



Question 1210352: x^logy + y^logx = 2
x^logx + y^logy = 11
find x = ?, y = ?

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
x^logy + y^logx = 2
x^logx + y^logy = 11
find x = ?, y = ?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~


One solution is x = 10, y = 1.

Another solution is x = 1, y = 10.


The method of finding the solutions is trial and error.


To check the solutions validity, substitute the values into equations.