Determine the value of h such that the following system has

Determine the value of h such that the following system has infinitely many solutions. -6y + 9y = 6 -2x + 3y = h Solution h =

Given : - 6x + 9y = 6 ---------(1)

- 2x + 3y = h --------(2)

for the above system to have infinite solution the 2 equations must be the same

divide equation (1) by \'3\'

we get - 2 x +3y = 2 comparing the RHS with equation (2)

we get \'h\'= 2

if \'h\' =2 both the equations represent are same equal to

-2x +3y =2 which gives infinite numbers of solution

all the points on the straight line -2x+3y =2 are the solution of the system