Given the system of equations:
[tex]\begin{cases}y={2x-5} \\ y={x+3}\end{cases}[/tex]Using the second equation in the first equation:
[tex]\begin{gathered} x+3=2x-5 \\ 3+5=2x-x \\ \Rightarrow x=8 \end{gathered}[/tex]Using the second equation, we calculate y:
[tex]y=8+3=11[/tex]Answer: (8, 11)