Вычислите координаты точки пересечения прямых: 4x+3y=8 и 3x-2y=6.

\[4x + 3y = 8\ \ \ и\ \ \ 3x - 2y = 6\]

\[\left\{ \begin{matrix} 4x + 3y = 8\ \ \ | \cdot 2 \\ 3x - 2y = 6\ \ \ | \cdot 3 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} 8x + 6y = 16\ \ (1) \\ 9x - 6y = 18\ \ (2) \\ \end{matrix} \right.\ \]

\[(1) + (2) \Longrightarrow 17x = 34\]

\[\left\{ \begin{matrix} 17x = 34\ \ \ \ \ \ \\ 3x - 2y = 6 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} x = 2\ \ \ \ \ \ \ \ \ \ \ \ \\ 2y = 3x - 6 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ y = \frac{3}{2} \cdot 2 - 3 \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\]

\[\left\{ \begin{matrix} x = 2 \\ y = 0 \\ \end{matrix} \right.\ \]

\[Ответ:(2;0).\]