Хелпаните , 2(x-y) = 5-y | (2x-y)^2-5x=15 ЭТО система. Created by ownerskiy. algebra-ru

Хелпаните , 2(x-y) = 5-y | (2x-y)^2-5x=15 ЭТО система...

Ответ:

$\left\{\begin{array}{l}2(x-y)=5-y\\(2x-y)^2-5x=15\end{array}\right\ \ \left\{\begin{array}{l}2x-2y=5-y\\(2x-y)^2-5x=15\end{array}\right\ \ \left\{\begin{array}{l}2x-5=y\\(2x-y)^2-5x=15\end{array}\right$

$\left\{\begin{array}{l}2x-5=y\\(2x-y)^2-5x=15\end{array}\right\ \ \left\{\begin{array}{l}2x-5=y\\(2x-(2x-5))^2-5x=15\end{array}\right\ \ \left\{\begin{array}{l}2x-5=y\\25-5x=15\end{array}\right\\\\\\\left\{\begin{array}{l}2x-5=y\\5x=10\end{array}\right\ \ \ \left\{\begin{array}{l}2x-5=y\\x=2\end{array}\right\ \ \left\{\begin{array}{l}4-5=y\\x=2\end{array}\right\ \ \left\{\begin{array}{l}y=-1\\x=2\end{array}\right\\\\\\Otvet:\ \ (\, 2\, ;-1\, )\ .$

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Ответ:

Объяснение:

2(x-y) = 5-y 2х-2у=5-у 2х-5=2у-у 2х-5=у

(2x-y)^2-5x=15 подставим во второе

(2x-(2х-5))^2-5x=15

(2х-2х+5)^2-5x=15

25-5х=15

25-15=5х

10=5х

2=х 2*2-5=у -1=у

Ответ: Х=2;У= -1

проверка

2(2-(-1))=5-(-1) 2*3=5+1 6=6

(2*2+1)^2-5*2=15 5*5-5*2=15 25-10=15 15=15

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