Suppose that x and y are positive numbers with
\begin{aligned}
x y & =\frac{1}{9} \\
x(y+1) & =\frac{7}{9} \\
y(x+1) & =\frac{5}{18}
\end{aligned}
What is the value of (x+1)(y+1)?
Answer Choices
A. \frac{11}{6}
B. \frac89
C. \frac{16}{9}
D. \frac{10}{9}
E. \frac{35}{18}