Question

Solve graphically $2x+y\ge 4,x+y\le 3$

Answer 1

$2x+y=4$

x	0	3
y	3	0

$x+y=3$

x	0	2
y	4	0

$2x+y\ge 4,x+y\le 3,x,y\ge 0$.

The required portion is OAB (shaded region)

The solution to the given pair of equation is:

$2x+y=4$

$-x+y=3$

___________

$x=1,y=2$

The solution is given by the point $(x,y)=(1,2)$

Hence (x,y)=(1,2)

The required solution