Given pair of equations is

x -2y = 6 …(i)

and 3x-6y = 0 …(ii)

On comparing with ax + by + c = 0

we get

Here, a₁ = , b₁ = - 2, c₁ = - 6;

And a₂ = 3, b₂ = - 6, c₂ = 0;

a₁ /a₂ = 1/3

b₁ /b₂ = - 2/ - 6 = 1/3

here a₁/a₂ = b₁/b₂ c₁/c₂ (parallel lines).

Hence, the lines represented by the given equations are parallel. Therefore, it has no solution. So, the given pair of lines is inconsistent.