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Автор - evgeniadoneckova

Решить систему методом подстановки -х+у=2 и х+у=4

Ответ

Автор - greatestgenius

Пошаговое объяснение:

[left{ begin{gathered}-x+y=2hfill\x+y=4hfill\end{gathered}right.Rightarrow left{ begin{gathered}y=2+xhfill\x+y=4hfill\end{gathered}right.Rightarrowleft{begin{gathered}y=2+xhfill\x+2+x=4hfill\end{gathered}right.Rightarrowleft{begin{gathered}y=2+xhfill\2x+2=4hfill \end{gathered}right.Rightarrow]

[left{ begin{gathered}y=2+xhfill\2x=2hfill\end{gathered}right. Rightarrow left{ begin{gathered}y=2+xhfill\x=1hfill\end{gathered} right.Rightarrow left{ begin{gathered}y=2+1hfill\x=1hfill\end{gathered}right.Rightarrow left{ begin{gathered}y=3hfill \x=1hfill\end{gathered}right.]

Ответ: x = 1; y = 3.

Ответы и объяснения

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