Fun little math problem

[Tugdual]

(05-10-2016 05:07 PM)Gerson W. Barbosa Wrote:  

(05-10-2016 03:08 PM)David Hayden Wrote:  Thanks for playing folks. It's interesting to graph to two functions also. You'll see that there is a limit to the solution at (0,0). Hmm. I'm sure I have the terminology wrong there, but the x+y=x*y has a solution at (0,0) and x-y-y/x = epsilon as x,y approach 0 (for the right small values of x&y)

Nice little problem. Thanks for posting! It reminds me of another one, worked-out allegedly in half a minute by a 14-year old student, about one hundred years ago:

\(\left \{ _{\sqrt{y}+x=11}^{\sqrt{x}+y=7} \right.\)

No ordinary student, though.

Gerson.

I could NUM.SLV it but no chance with CAS on the 50g, keeps saying "not exact system" whatever this means...