[tex]\left\{\begin{matrix}
2(x + 1) - y = 6\\
3x + 5y = 2\end{matrix}\right.[/tex]
[tex]\left\{\begin{matrix}
2x + 2 - y = 6\\
3x + 5y = 2\end{matrix}\right.[/tex]
[tex]\left\{\begin{matrix}
2x - y = 6 - 2\\
3x + 5y = 2\end{matrix}\right.[/tex]
[tex]\left\{\begin{matrix}
2x - y = 4\\
3x + 5y = 2\end{matrix}\right.[/tex]
[tex]2x - y = 4[/tex]
[tex] - y = 4 - 2x \: | \times ( - 1)[/tex]
[tex]y = 2x - 4[/tex]
[tex]3x + 5y = 2[/tex]
[tex]3x + 5(2x - 4) = 2[/tex]
[tex]3x + 10x - 20 = 2[/tex]
[tex]3x + 10x = 2 + 20[/tex]
[tex]13x = 22[/tex]
[tex]x = \frac{22}{13} [/tex]
[tex]y = 2x - 4[/tex]
[tex]y = 2 \times \frac{22}{13} - 4[/tex]
[tex]y = \frac{44}{13} - 4[/tex]
[tex]y = \frac{44}{13} - \frac{52}{13} [/tex]
[tex]y = \frac{44 - 52}{13} [/tex]
[tex]y = - \frac{8}{13} [/tex]
