\(\begin{array}{l}
\frac{1}{3} < \frac{x}{9} < \frac{1}{2}\\
\Leftrightarrow \frac{6}{{18}} < \frac{{2x}}{{18}} < \frac{9}{{18}}\\
\Leftrightarrow 6 < 2x < 9\\
\Leftrightarrow 3 < x < \frac{9}{2}\\
Ma\,\,\,x \in Z \Rightarrow x = 4.\\
2x + 3y = 19\\
\Rightarrow 2.4 + 3y = 19\\
\Leftrightarrow 3y = 11\\
\Leftrightarrow y = \frac{{11}}{3}\,\,\,\left( {ktm} \right).\\
Vay\,\,\,khong\,\,co\,\,cap\,\,\,\left( {x;\,\,y} \right)\,\,\,nguyen\,\,nao\,\,thoa\,\,man\,\,bai\,\,toan.
\end{array}\)