دستگاه معادله خطی زیر را حل کنید.
$\left\{ \begin{gathered}
x + 2y = 1 \hfill \\
2x - y = 2 \hfill \\
\end{gathered} \right.$
پاسخ تشریحی :
$\begin{gathered}
\left\{ \begin{gathered}
x + 2y = 1 \hfill \\
2x - y = 2 \hfill \\
\end{gathered} \right.\,\,\underrightarrow { \times 2}\,\,\underline {\left\{ \begin{gathered}
x + 2y = 1\,\,\,\, \hfill \\
4x - 2y = 4 \hfill \\
\end{gathered} \right.} \hfill \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5x = 5 \hfill \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x = 1 \hfill \\
\end{gathered} $
$\underrightarrow {x + 2y = 1}\,\,\left( 1 \right) + 2y = 1$
$ \Rightarrow y = 0$
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