C. Infinitely many solutions
Explanation:
Expressing y in terms of x in the equation 2x – 5y = 7, we get,
2x – 5y = 7
– 5y = 7 – 2x
y = ( 7 – 2x)/– 5
Hence, we can conclude that the value of y will be different for different values of x.
Hence, option C is the correct answer.