Question

find k if 2x-3y=8 and 2(k-4)x-4y=k+3 are inconsistent
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Answer 1

condition for inconsistent is a1/a2=b1/b2

2/2k-8=-3/-4

-4×2=-3×(2k-8)

-8 = -6k + 24

-8-24=-6k

-32=6k

-32/6=k

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