math

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.

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  1. 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

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  2. I am going to need help with measurement

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