Question

Розв'яжіть систему рівнянь :

Answer 1

Объяснение:

550.

$a)\ \left \{ {{y=x+1} \atop {xy=x^2}} \right. \ \ \ \ \left \{ {{y=x+1} \atop {x*(x+1)=x^2}} \right.\ \ \ \ \left \{ {{y=x+1} \atop {x^2+x=x^2}} \right.\ \ \ \ \left \{ {{y=1} \atop {x=0}} \right.$

Ответ: (0;1).

$b)\ \left \{ {{x+y^2=9} \atop {x+2y=9}} \right.\ \ \ \ \left \{ {{x+y^2=9} \atop {x+2y=x+y^2}} \right.\ \ \ \ \left \{ {{x+y^2=9} \atop {y^2-2y=0}} \right. \ \ \ \ \left \{ {{x+y^2=9} \atop {y*(y-2)=0}} \right. \ \ \ \ \left \{ {{x_1=9\ \ \ \ x_2=5} \atop {y_1=0\ \ \ \ y_2=2}} \right. .$

Ответ: (9;0),  (5;2).

$c)\ \left \{ {{2x-y=2} \atop {xy+2y=0\ |*2}} \right.\ \ \ \ \left \{ {{2x=y+2} \atop {2xy+4y=0}} \right. \ \ \ \ \left \{ {{2x=y+2} \atop {(y+2)*y+4y=0}} \right.\ \ \ \ \left \{ {{2x=y+2} \atop {y^2+6y=0}} \right. \ \ \ \ \\ \left \{ {{x=\frac{y+2}{2} } \atop {y*(y+6)=0} \right. \ \ \ \ \left \{ {{x_1=1\ \ \ \ \ x_2=-2} \atop {y_1=0\ \ \ \ \ y_2=-6}} \right. .$

Ответ: (1;0),  (-2;-6).