Question

Determine graphically the vertices of the triangle, the equations of whose sides are given below :

2y − x = 8, 5y − x = 14 and y − 2x = 1

Answer 1

Draw the 3 lines as given by equations

By taking x=1 = 1 cm on x−axis

And y =1=1cm on y−axis

`y/4 - x/8 = 1`

`y/2.8 - x/14 = 1`

`y/1 - x/0.5 = 1`

Clearly from graph points of intersection three lines are

(−4,2) , (1,3), (2,5)