Homework Help: math

Posted by anonymous on Wednesday, May 7, 2008 at 4:27am.

Find the value of k such that the system of linear equations is inconsistent.

{4x-8y = -3
{2x+ky = 16

I know that the answer is k = -4 but I don't know how to solve to get that answer.

math - Reiny, Wednesday, May 7, 2008 at 7:45am
If the system is inconsistent implies there is no solution.
To have no solution to two linear equations implies that the two lines are parallel, and thus their slopes must be equal.
the slope of the first is 1/2
the slope of the second is -2/k
so -2/k = 1/2
k = -4
- math - Alicia, Wednesday, May 7, 2008 at 1:35pm
  I am going to need help with measurement

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