Can someone help me to solve this system of eq:
$$3^{x}+x ^{y}=28$$
$$x-y=3$$

Question

Can someone help me to solve this system of eq:
$$3^{x}+x ^{y}=28$$
$$x-y=3$$

kamille · Answer

can you help me, @hartnn

hartnn · Answer

which topic does it belong ? 
can you verify the Q again ? because it doesn't seem to be easy on first trial...

kamille · Answer

well, there is no specific topic. I am preparing for my school leaving math exam, and I found it one training book. The question is : solve the system of equation (I dont know how to make an eq sign here/;)

hartnn · Answer

does it say anything like x and y have to be integer or something ?

kamille · Answer

nope:/

hartnn · Answer

well, i am sorry i am not able to solve that analytically 
but i have tried guessing some values of x and y and found out that x=3, y=0 satisfies both the equation.
i don't think there is any other integer solution, don't know about any other real solution.

kamille · Answer

oh, okay:) Thanks you anyway!