Question

2x+7 y = 24
4x-5 y=10​

Answer 1

Ответ:

$(5; 2)$

Пошаговое объяснение:

$\displaystyle \left \{ {{2x+7y=24} \atop {4x-5y=10}} \right. \Leftrightarrow \left \{ {{4x+14y=48} \atop {4x-5y=10}} \right. \bigg |-$

$4x+14y-(4x-5y)=48-10;$

$4x+14y-4x+5y=38;$

$(14+5)y=38;$

$19y=38;$

$y=38:19;$

$y=2;$

$2x=24-7y \Rightarrow x=12-3,5y; \quad x=12-3,5 \cdot 2=12-7=5;$

$(5; 2);$