SOLUTION: find the values of m such that this question has no solution sets: 4x-2y=12 3x+my=2

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.

RELATED QUESTIONS
Find the values of m and a such that these equations have infinite solution sets. (i)... (answered by nabla)

find the value of m such that this question have no solutions: 3x-my=4... (answered by ichudov)

Find the values of k such that 4x^2+16x+k has the following solutions. a. no real... (answered by MathLover1)

Hi can you please help me in solving these equations thank you 1.what are the values... (answered by dolly)

Find the values of k such that 4x^2+16x+k has the following solution. a. two real number (answered by MathLover1)

I am trying to figure this question out, but am having significant problems. Given the (answered by math_tutor2020,nsisson)

Given the system 2x+5y=1 and 3x+ky=4, find k such that this system has no solution. (answered by richard1234)

Find the values of k such that 4x^2+16x+k has the following solutions. a.exactly one... (answered by MathLover1)

find the range of values for p such that 3X^2 + 3px + p^2 = 1 has real... (answered by venugopalramana)