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For which value(s) of k does the following system have no solution?

 

4x - 6y = -2

kx - 9y = 3

 Oct 10, 2022
 #1
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First we want to get y to cancel out.

Equation 1 can be rewritten as 12x - 18y = -6

Equation 2 can be rewritten as 2kx - 18y = 6

Subtracting equation 2 from equation 1:

(12 - 2k)x = -12

(6-k)x = -6

If k = 6, then 0 = -6 which is false.

 Oct 10, 2022

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