Which classification system describes the system of linear equations? x-2y=1 y=1/2x+3

Rewrite 

x-2y=1 
y=1/2x+3

as
                               -x + 1                  
-2y = -x + 1, or y =   or   y = (1/2)x - 1/2
                                   -2

y = (1/2)X + 3

Since the slopes are the same (1/2), and the y-inercepts different (-1/2 and 3), the system represents two parallel lines with NO solution.