[tex]\displaystyle\bf\\\left \{ {{ \frac{ x- 5}{6} + \frac{y + 3}{5} = 1 \: \: | \times 30} \atop {y + 2x = 5 }} \right. \\ \displaystyle\bf\\\left \{ {{5x - 25 + 6y + 18 = 30} \atop {y = 5 - 2x }} \right. \\ \\ \displaystyle\bf\\\left \{ {{5x + 6(5 - 2x) = 37} \atop {y = 5 - 2x }} \right. \\ \\ 5x + 30 - 12x = 37 \\ - 7x = 7 \\ x = 7 \div ( - 7) \\ x = - 1 \\ \\ y = 5 - 2 \times ( - 1) = 5 + 2 = 7[/tex]

Ответ: ( - 1 ; 7 )