Ответ:
y₁=4 x₁=8
y₂=24 x₂= -12
Объяснение:
xy/x-y=8 x≠y
x+y=12
x=12-y
(12-y)y/(12-y-y)=8
(12y-y²) / (12-2y) = 8
12y-y² =8* (12-2y)
12y-y² = 96 - 16y
12y-y² - 96 + 16y=0
-y²+28y-96=0
y²-28y+96=0
D = b² - 4ac = (-28)² - 4·1·96 = 784 - 384 = 400
√D=√400=20
y₁=(28 - 20)/ 2 = 8 /2 = 4
y₂=(28 + 20)/ 2 = 48 /2 = 24
y₁=4 x₁=12-4=8
y₂=24 x₂=12-24= -12