Question

Срочно
Решите систему способом подстановки
х+5у=6
2х-3у=5

Answer 1

$\begin{cases}x + 5y = 6 \\ 2x - 3y = 5 \end{cases} \\ \begin{cases}x = 6 - 5y \\ 2x - 3y = 5 \end{cases} \\ \\ 2 \times (6 - 5y) - 3y = 5 \\ 12 - 10y - 3y = 5 \\ 12 - 13y = 5 \\ 13y = 7 \\ y = \frac{7}{13} \\ \\ x = 6 - 5 \times \frac{7}{13} \\ x = 6 - \frac{35}{13} \\ x = \frac{43}{13} = 3 \frac{4}{13} \\ \\ \boldsymbol{( 3\frac{4}{13}; \frac{7}{13}) }$