The system of equations 2x + 4y = 6 and 4x + 8y = 8 is
- Consistent with a unique solution
- Consistent with infinitely many solutions
- None of the above
When there is no solution, the equations are called inconsistent. This happens, when the lines are parallel.
Here, a1/a2 = b1/b2 = 1/2 ≠ c1/c2
So, the two lines are parallel.
The correct option is C.