Question 7338
no solution means the 2 lines will not cross (the crossing point is the solution). This only occurs when the lines are parallel.


So, work out gradient of first line...


4x-2y=12
-2y=-4x+12
y = 2x - 6 --> gradient = 2


so second line needs "2x", so: 3x+my=2 gives


my = -3x+2
y = (-3/m)x + 2/m


so, -3/m has to be equal to 2...so


-3/m = 2
--> m = -3/2


jon.