Question

Show graphically that each one of the following systems of equations is inconsistent (i.e. has no solution):
$2y-x=\frac{9}{2}$
$6y-3x=21$

Answer 1

Both lines have same Slope $=\frac{-(-1)}{2}=\frac{1}{2}$

Since they have same Slope, those lines are parallel

$\therefore$two lines do not intersect each other and thus they do not have solution ie, system is in consistent