Question

find K if the equations inconsistant x-4y=6 3x+ky=5​

Answer 1

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Answer 2

Question :

Find k if the equations inconsistant x - 4y = 6 & 3x + ky = 5.

Given equations :

x - 4y = 6 => x - 4 y - 6 = 0

3x + ky - 5  = 0

To find :

the value of k.

Solution :

As per the given condition, to make these set of equation inconsistant,

i.e, no solution  a1/b1 = a2/b2 ≠ c1 / c2

By comparing both equations,

a1 = 1, b1 = - 4, c1 = - 6

a2 = 3, b2 = k, c2 = - 5

therefore, a1/b1 = a2/b2

1/- 4 = 3/k (by cross multiplication)

k = -12.

Final Answer :

The value of k is -12 for which the given equation graph is inconsistence.