Answer
The system has no solution. The system is consistent.
Work Step by Step
Multiplying the first equation by 10/3 and the second equation by -1 gives:
$\frac{5}{3}x+2y=10$
$\frac{-5}{3}x-2y=-10$
Adding two equations eliminates both x and y, and we can not make this statement true, so the system has no solution. The system is consistent.