In order to solve this system of equations, we can first add both equations together:
[tex]\begin{gathered} x-y+x+y=25+15 \\ 2x=40 \\ x=20 \end{gathered}[/tex]Now that we have the value of x, we can use any of the two equations to find the value of y:
[tex]\begin{gathered} x+y=15 \\ 20+y=15 \\ y=15-20 \\ y=-5 \end{gathered}[/tex]So the solution is the ordered pair (20, -5).