Given: 5x - 3y = 0 – eq 1

2x + ky = 0 – eq 2

Here,

a₁ = 5, b₁ = - 3, c₁ = 0

a₂ = 2, b₂ = k, c₂ = 0

Here,

Given that system of equations has non zero solution.

∴ =

=

Here,

=

5×k = - 3×2

5k = 6

K =

∴