Final answer:
The equations 5x - 4y = -4 and 10x - 8y = -8 have an infinite number of solutions because they represent the same line.
Step-by-step explanation:
These two equations have an infinite number of solutions because they represent the same line. When we compare the two equations, we can see that they are the same equation, just written in different forms. We can verify this by rearranging the second equation: 10x - 8y = -8 becomes 5x - 4y = -4. Since the two equations are equivalent, they have the same solution.