There are two equations given in the question:

x + 2y – 8 = 0 …(i)

And, 2x + 4y – 16 = 0 …(ii)

These given equations are in the form a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 where,

a₁ = 1, b₁ = 2 and c₁ = – 8

Also, a₂ = 2 + b₂ = 4 and c₂ = – 16

Now, we have:

And,

∴

Hence, the pair of linear equations are coincident and therefore has infinitely many solutions