Question

Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution):
$3x-4y-1=0$
$2x-\frac{8}{3}y+5=0$

Answer 1

Slope of 1st line $=\frac{-3}{-4}=\frac{3}{4}$

Slope of 2nd line =$\frac{-2}{-8/3}=\frac{3}{4}$

$\Rightarrow$both lines have same slope

$\therefore$lines are parallel and they do not intersect each other Hence No Solution.