Question

Find the value of k for the system of equations has a unique solution:

2x + 3y – 5 = 0, kx – 6y – 8 = 0.

Answer 1

2x + 3y – 5 = 0 ………….(1)

kx – 6y – 8 = 0 ………..(2)

a₁ = 2, b₁ = 3, c₁ = – 5

a₂ = k, b₂ = – 6, c₂ = – 8

System has a unique solution.

Now, Find the value of k:

2/k ≠ 3/-6

k ≠ -4