Question

решить систему уравнения​

Answer 1

Ответ:

$\left\{\begin{array}{l}2(x+y)=(x-y)+5\\3(x+y)=(x-y)+8\end{array}\right\ \ \left\{\begin{array}{l}t=x+y\\p=x-y\end{array}\right\ \ \left\{\begin{array}{l}2t=p+5\\3t=p+8\end{array}\right\ \ominus\ \left\{\begin{array}{l}2t=p+5\\t=3\end{array}\right$

$\left\{\begin{array}{l}p=2t-5\\t=3\end{array}\right\ \ \left\{\begin{array}{l}p=1\\t=3\end{array}\right\ \ \left\{\begin{array}{l}x+y=3\\x-y=1\end{array}\right\ \oplus \ \left\{\begin{array}{l}2x=4\\y=x-1\end{array}\right\ \ \left\{\begin{array}{l}x=2\\y=1\end{array}\right\\\\\\Otvet:\ \ (2;1)\ .$