Given the system of non-linear equations: {2x⋅3y=182y⋅3x=12\begin{cases} 2^x \cdot 3^y = 18 \\ 2^y \cdot 3^x = 12 \end{cases}{2x⋅3y=182y⋅3x=12 What is the value of x+yx + yx+y?
333
444
555
666