Answer:
Inconsistent
Step-by-step explanation:
Consistent independent means that there is only one solution; ie one place where the 2 lines intersect.
Inconsistent means that the lines will NEVER cross because they are parallel
Consistent dependent means that the 2 lines, when solved for y, are the exact same line (same slope, same y-intercept)
In our system, one of the equations is already solved for y, so let's solve the other one for y:
[tex]x-2y=1[/tex] so
[tex]-2y=-x+1[/tex] and
[tex]y=\frac{1}{2}x-\frac{1}{2}[/tex]
The slopes of the 2 lines are the same; therefore, they are parallel and will never intersect. Inconsistent system.
