\(\left[ \begin{array}{l}3x-2y=1\\x+y=3\end{array} \right.\)
⇒\(\left[ \begin{array}{l}3x-2y=1\\x=3-y\end{array} \right.\)
⇒\(\left[ \begin{array}{l}3(3-y)-2y=1\\x=3-y\end{array} \right.\)
⇒\(\left[ \begin{array}{l}9-3y-2y=1\\x=3-y\end{array} \right.\)
⇒\(\left[ \begin{array}{l}5y=8\\x=3-y\end{array} \right.\)
⇒\(\left[ \begin{array}{l}y=1,6\\x=3-1,6\end{array} \right.\)
⇒\(\left[ \begin{array}{l}y=5,2\\x=1,4\end{array} \right.\)
⇒\(\left[ \begin{array}{l}y=\dfrac{8}{5} \\x=\dfrac{7}{2} \end{array} \right.\)
