Question

Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution):
$x-2y=6$
$3x-6y=0$

Answer 1

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

$\Rightarrow$lines are parallel

$\therefore$lines do not intersect ie, system have in-consistent solutions