Question

Решите систему уравнения: {y+4/x=-2
                                            {x-6/y=6

Answer 1

$left { {{y+ frac{4}{x} =-2} atop {x- frac{6}{y} =6}} right. \ left {xy+4 =-2x} atop {xy-6 =6y}} right. \ left {y= frac{- 2x -4}{x} } atop {xy-6 =6y}} right. \ x *frac{- 2x -4}{x} }-6 =6 *frac{- 2x -4}{x} } \ -2x^2-4x-6x=-12x-24 \ -2x^2+2x+24=0 \ x^2-x-12=0$
$x^2-x-12=0 \ D=1+4*12=49 \ sqrt{D} =7 \ x_1=(1-7)/2=-3$
$y_1=(-2*(-3)-4)/(-3)=-2/3 \ x_2=(1+7)/2=4 \ y_2=(-2*4-4)/4=-3$
Ответ: x=-3; y=-2/3 или x=4; y=-3