Question

The value of k is___________for which equations-4x + ky + 7 = 0 and -2x - y + 2 = 0, willhave no solution.

Answer 1

Answer:

Equations are -4x + ky + 7 = 0 ; -2x - y + 2 = 0

a1 = -4 ; b1 = k ; c1 = 7

a2 = -2 ; b2 = -1 ; c2 = 2

The condition for no solution is :

a1/a2 = b1/b2 ≠ c1/c2

a1/a2 = -4/-2 = 4/2

b1/b2 = k/-1

c1/c2 = 7/2

a1/a2 = b1/b2 ≠ c1/c2

4/2 = k/-1 ≠ 7/2

4/2 = k/-1

4 × -1 = 2k

-4 = 2k

k = -4/2 = -2

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