Question

37.
5x + 4y = 2
(x-3y-8=0

Answer 1

$\displaystyle\bf\\\left \{ {{5x + 4y = 2} \atop {x - 3y - 8 = 0 }} \right. \\ \displaystyle\bf\\\left \{ {{5(3y + 8) + 4y = 2} \atop {x = 3y + 8 }} \right. \\ \\ 15y + 40 + 4y = 2 \\ 19y = 2 - 40 \\ 19y = - 38 \\ y = - 38 \div 19 \\ y = - 2 \\ \\ x = 3 \times ( - 2) + 8 \\ x = - 6 + 8 \\ x = 2$

Ответ: ( 2 ; - 2 )