пожалуйста решите систему уравнений ( с объяснением): { 2//x + 1//y = 1 { x - y = 2. Created by locer. algebra-ru

y = 1 { x - y = 2...

locer @locer

July 2022 1 4 Report

пожалуйста решите систему уравнений ( с объяснением):

{ 2//x + 1//y = 1

{ x - y = 2

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Alexаndr

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$\begin{cases}\frac{2}{x}+\frac{1}{y}=1\\x-y=2=>x=y+2\end{cases}\\\\\\\frac{2}{y+2}+\frac{1}{y}=1|*y(y+2)\\y+2=y^2\\y^2-y-2=0\\y_1=2\ ;y_2=-1\\x_1=4\ ;x_2=1\\\\OTBET:(4;2) (1;-1)$

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