Решите методом сложения систему уравнений: 6x+7y=2; 3x-4y=46.

\[\left\{ \begin{matrix} 6x + 7y = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 3x - 4y = 46\ \ \ \ | \cdot 2 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} 6x + 7y = 2\ \ \\ 6x - 8y = 92 \\ \end{matrix} - \right.\ \text{\ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} 15y = - 90 \\ x = \frac{2 - 7y}{6} \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} y = - 6 \\ x = 7\frac{1}{3} \\ \end{matrix} \right.\ \]

\[Ответ:\left( 7\frac{1}{3};\ - 6 \right).\]