Решите систему уравнений: 3x-y=3; 5x+2y=17.

\[\left\{ \begin{matrix} 3x - y = 3\ \ \ \ | \cdot 2\ \\ 5x + 2y = 17\text{\ \ \ \ \ \ \ } \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} 6x - 2y = 6\ \ \\ 5x + 2y = 17 \\ \end{matrix} \right.\ \ ( + )\]

\[11x = 23\]

\[x = \frac{23}{11} = 2\frac{1}{11}.\]

\[y = 3x - 3 = 3 \cdot \frac{23}{11} - 3 =\]

\[= \frac{63}{11} - 3 = 5\frac{8}{11} - 3 = 2\frac{8}{11}.\]

\[Ответ:\left( 2\frac{1}{11};2\frac{8}{11} \right).\]