Verified answer

Ответ:

(3;1)

Объяснение:

Решение.

Применяем метод сложения решения систем уравнений .

[tex]\left\{\begin{array}{l}\bf 2(3x-4y)-4(y+5)=-14\\\bf 3(8y-5)-(7-2x)=8\end{array}\right\ \ \left\{\begin{array}{l}\bf 6x-8y-4y-20=-14\\\bf 24y-15-7+2x=8\end{array}\right[/tex]  

[tex]\left\{\begin{array}{l}\bf 6x-12y=6\\\bf 2x+24y=30\ |:2\end{array}\right\ \ \left\{\begin{array}{l}\bf 6x-12y=6\\\bf x+12y=15\end{array}\right\ +\ \left\{\begin{array}{l}\bf 6x-12y=6\ |:6\\\bf 7x=21\end{array}\right\\\\\\\left\{\begin{array}{l}\bf x-2y=1\\\bf x=3\end{array}\right\ \ \left\{\begin{array}{l}\bf 2y=x-1\\\bf x=3\end{array}\right\ \ \left\{\begin{array}{l}\bf 2y=2\\\bf x=3\end{array}\right\ \ \left\{\begin{array}{l}\bf y=1\\\bf x=3\end{array}\right[/tex]

Ответ:  ( 3 ; 1 ) .