The given system is
[tex]\mleft\{\begin{aligned}2x+5y=2 \\ 3x-5y=3\end{aligned}\mright.[/tex]We just have to sum the equations.
[tex]5x+0y=5[/tex]Then, we solve for x.
[tex]\begin{gathered} 5x=5 \\ x=\frac{5}{5} \\ x=1 \end{gathered}[/tex]We use this value to find y
