The system of equations has no solution.
Solution:
Given expression –x + 5y = 5 and x – 5y = 5.
–x + 5y = 5 – – – – (1)
x – 5y = 5 – – – – (2)
Adding (1) and (2), we get
–x + 5y + x – 5y = 5 + 5
Combine like terms together.
(–x + x) + (5y – 5y) = 5 + 5
0 + 0 = 25
There is no x-term and y-term in Left hand side.
So, the system of equations has no solution.