Question

Solve the following pair of linear equation graphically.

$x+3y=6;2x-3y=12$

Answer 1

$x+3y=\mathrm{6......}\left(1\right)$

$2x-3y=\mathrm{12....}\left(2\right)$

Solving $\left(1\right)$ [Ref image 1]

$4+3y-6=0$

When $x=0$

$y=2$

When $y=0$

$x=6$(Ref image (1)).

Solving $\left(2\right)$ [Ref. image 2]

When

$x=0$

$y=-4$

When

$y=0$

$x=6$

$\therefore$ They intersect at $(6,0)$ [Ref. image 3]