Answer:
(x,y)=(0,-1)
Step-by-step explanation:
Observe that the equation [tex]x-5y=5[/tex] can be transformed in the equation of a line
[tex]x-5y=5\\-5y=5-x\\y=\frac{x-5}{5}\\y=\frac{1}{5}x-1[/tex]
Since x can take any value then the equation has infinite solutions. But we need only an solution (x,y). Then, taking x=0 we have that [tex]y=\frac{1}{5}*0-1=-1[/tex].
Therefore the ordered pair (x,y)=(0,-1) is a solution of the equation.
