Find the value of k for which each of the following systems of equations has no solution:

Question

Find the value of k for which each of the following systems of equations has no solution: 3x - y - 5 = 0, 6x - 2y + k = 0 (k 0).

Philoid · Accepted Answer

Given: 3x - y - 5 = 0 – eq 1

6x - 2y + k = 0 – eq 2

Here,

a₁ = 3, b₁ = - 1, c₁ = - 5

a₂ = 6, b₂ = - 2, c₂ = k

Here,

Given that system of equations has no solution

∴ = ≠

= ≠

Here,

≠

- k ≠ - 2× - 5

- k≠ - 10

K≠10

∴ k≠ - 10