Question 7338: find the values of m such that this question has no solution sets:
4x-2y=12
3x+my=2
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! 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.
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