دستگاه معادلات خطی مقابل را حل کنید.
$\left\{ \begin{gathered}
3x + 2y = 16 \hfill \\
x - y = - 3 \hfill \\
\end{gathered} \right.$
پاسخ تشریحی :
$\begin{gathered}
\left\{ \begin{gathered}
3x + 2y = 16 \hfill \\
x - y = - 3 \hfill \\
\end{gathered} \right.\begin{array}{*{20}{c}}
{} \\
{\xrightarrow{{ \times ( - 3)}}}
\end{array}\left\{ \begin{gathered}
3x + 2y = 16 \hfill \\
- 3x + 3y = 9 \hfill \\
\end{gathered} \right. \hfill \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5y = 25 \hfill \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\boxed{y = 5} \hfill \\
3x + 2(5) = 16 \hfill \\
3x = 16 - 10 = 6 \hfill \\
\boxed{x = 2} \hfill \\
\end{gathered} $
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