Решите систему уравнений x-3y=-3; 5x-2y=11.

Ответ:

\[\left\{ \begin{matrix} x - 3y = - 3\ \ \\ 5x - 2y = 11 \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} x = 3y - 3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 5 \cdot (3y - 3) - 2y = 11 \\ \end{matrix} \right.\ \]

\[15y - 15 - 2y = 11\]

\[13y = 26\]

\[y = 2.\]

\[x = 3y - 3 = 3 \cdot 2 - 3 = 3.\]

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

\[Ответ:(3;2).\]