Question

решите систему уравнений
(2x+y)*(x+3y)=48

(2x+y) / (x+3y)=3/4

Answer 1

$left { {{(2x+y)(x+3y)=48} atop { frac{2x+y}{x+3y}= frac{3}{4} }} right. \ \ 2x+y= frac{48}{x+3y} \ \ frac{48}{ (x+3y)^{2}}= frac{3}{4} \ \ x+3y= sqrt{48* frac{4}{3} } = 8 \ 2x+y=48/8=6 \ left { {{2x+y=6} atop {x+3y=8}} right. \ \ left { {{2x+y=6} atop {-2x-6y=-16}} right. \ \ 5y=10 \ y=2 \ x=2$
Ответ: (2; 2)