The given two equations are:

2x + 3y – 5 = 0 …(i)

4x + ky – 10 = 0 …(ii)

Here, we have:

a₁ = 2, b₁ = 3 and c₁ = – 5

a₂ = 4, b₂ = k and c₂ = – 10

We know that, for the system having a infinite number of solutions we must have

∴ k = 6

Hence, the value of k is 6