Final answer:
The correct answer is Option A. The given system of linear equations has 1 solution.
Step-by-step explanation:
The given system of linear equations is:
y = 7x + 8
-7x + y = -8
To determine the number of solutions, we can use the method of elimination. Adding the two equations, we get:
0x + 2y = 0
Simplifying, we find:
y = 0
Since y is equal to 0, there is only one solution to the system of linear equations.