SOLUTION: Determine the value of k for which the system of linear equations has no solution. 2x - y = -16 4x + ky= -3

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Question 364293: Determine the value of k for which the system of linear equations has no solution.
2x - y = -16
4x + ky= -3

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No solution means the lines are parallel.
The left hand sides are multiples of each other.
Find the multiplier Z so that,
Z%282x-y%29=%284x%2Bky%29
Solve for the x and y terms on both sides.
x:2Z=4, Z=2
y:-Z=k, k=-Z=-2
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highlight%28k=-2%29
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C2x%2B16%2C%284x%2B3%29%2F2%29