Question

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

(i) 2y − x = 8, 5y − x = 14 and y − 2x = 1
(ii) y = x, y = 0 and 3x + 3y = 10

Answer 1

(i) Draw the 3 lines as given by equations

By taking x=1 = 1 cm on x−axis

And y =1=1cm on y−axis

Clearly from graph points of intersection three lines are

(−4,2) , (1,3), (2,5)

(ii) Draw the 3 lines as given by equations

By taking x=1 = 1 cm on x−axis

And y =1=1cm on y−axis

From graph point of intersection are (0,0) (10/3,0) (5/3,5/3)