Solve the system:
\(\{\begin{array}{rcl}\log_2\left(\dfrac{x+1}{y}\right)&=&2y-x\\\sqrt{xy+y+2}+\sqrt{y^2+x+2}&=&4y\end{array}\)
Note, Max, that by inspection, at least one real solution is {x,y} = {1, 1}