Question

Помогите плиз срочно нужен ​

Answer 1

$left { {{frac{1}{y}- frac{1}{x}=frac{1}{3}} atop {x-2y=2}} right.=>left { {{frac{x-y}{xy}=frac{1}{3}} atop {x=2y+2}} right.=>left { {{3(x-y)=xy} atop {x=2y+2}} right.=>left { {{3(2y+2-y)}=(2y+2)y atop {x=2y+2}} right.=>\\\=>left { {{3(y+2)=2y^2+2y} atop {x=2y+2}} right.=>left { {{3y+6=2y^2+2y} atop {x=2y+2}} right.=>left { {{2y^2-y-6=0} atop {x=2y+2}} right.\\2y^2-y-6=0\D=(-1)^2-4*2*(-6)=1+48=49=7^2\y_1=(1+7)/(2*2)=8/4=2\y_2=(1-7)/(2*2)=-6/4=-1,5$

$x_1=2y_1+2=2*2+2=4+2=6\x_2=2y_2+2=2(-1,5)+2=-3+2=-1$

Ответ: (6; 2), (-1; -1,5)