To solve this problem, the first step is to find the slope intercept form of the equation:
[tex]\begin{gathered} x-5y=5 \\ 5y+5=x \\ 5y=x-5 \\ y=\frac{1}{5}x-1 \end{gathered}[/tex]Now, use a random value of x and find y, for example in this case we can use x=5 :
[tex]\begin{gathered} y=\frac{1}{5}(5)-1 \\ y=1-1 \\ y=0 \end{gathered}[/tex]The ordered pair that is a solution for the given equation is (5,0).