Question

Решите систему.

1/x-y  - x = -2
x/x-y = 3

Answer 1

$frac{1}{x-y} -x=-2 [tex] frac{x}{x-y} =3$

x=3*(x-y)
$frac{1}{x-y} -x=-2$

2x=3y
$frac{1}{x-y} =x-2$

y=2/3x
$frac{1}{x-2/3x} =x-2$

y=2/3x
$frac{1}{1/3x} =x-2$

y=2/3x
$frac{3}{x} =x-2$

y=2/3x
x²-2x-3=0
D=4+4*3=16
x₁=(2-4)/2=-1 y₁=-2/3
x₂=(2+4)/2=3 y₂=2