\[\left\{ \begin{matrix} 2x + 9y - 2 = 0\ \ \ | \cdot 4 \\ 8x - 15y + 43 = 0\ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\]
\[\left\{ \begin{matrix} 8x + 36y - 8 = 0\ \ \\ 8x - 15y + 43 = 0 \\ \end{matrix} - \right.\ \text{\ \ \ \ }\]
\[\left\{ \begin{matrix} 51y = 51\ \ \ \ \ \ \\ 2x = 2 - 9y \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} y = 1\ \ \ \ \ \ \ \\ x = - 3,5 \\ \end{matrix} \right.\ \]
\[Ответ:( - 3,5;\ 1).\]