SOLUTION: Determine the values ​​of K for which the following system has a nonzero solution: Kx + Ky = 0 4x + 2Ky = 0 The official answer is K=0 and K=2 Help me please!

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Question 549656: Determine the values ​​of K for which the following system has a nonzero solution:
Kx + Ky = 0
4x + 2Ky = 0
The official answer is K=0 and K=2
Help me please!

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Kx + Ky = 0
4x + 2Ky = 0
:
multiply the 1st equation by 2, and you have
2kx + 2ky = 0
4x + 2ky = 0
-------------------subtraction eliminates 2ky, find k
2kx - 4x + 0 = 0
2kx = 4x
divide both sides by 2x
k = 2
:
I'm not sure how you would get k=0

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