Система:ху+х=56 ху+у=54

Question

Система:
ху+х=56
ху+у=54

Answer 1

X(y+1)=56
xy+y=54

x=56/(y+1)
56y/(y+1) + y = 54
56y + y² + y = 54y+ 54
y² + 3y - 54 = 0
D=9+216 = 225
y₁=(-3+15)/2=6
y₂ = (-3-15)/2 = -9
x₁= 56/(6+1) = 8
x₂ = 56/(-9+1) = -7
Ответ; (8; 6) ; (-7;-9)