Question

Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution):
$3x-5y=20$
$6x-10y=-40$

Answer 1

We can see that both the lines have same Slope=$\frac{3}{5}$

Constant of two lines is different

$\Rightarrow$lines are parallel

$\therefore$lines have no solution ie, they do not intersect and system of equations is in-consistent