[tex]\displaystyle\\\begin{cases}2x+y=5~~~\Big|\cdot3\\x-3y=-1\end{cases}\\\\\begin{cases}6x+3y=15\\x-3y=-1\end{cases}\\\\--------\text{Adunam ecuatiile.}\\7x~~~~~\backslash~=14\\\\7x=14\\\\x=\frac{14}{7}\\\\\boxed{\bf~x=2}\\\\2x+y=5\\\\2\times2+y=5\\\\4+y=5\\y=5-4\\\\\boxed{\bf~y=1}[/tex]
