Let S be the set of all column matrices [b₁ b₂ b₃]ᵀ such that b₁, b₂, b₃ ∈ ℝ and the system of equations (in real variables) −x + 2y + 5z = b₁, 2x − 4y + 3z = b₂, x − 2y + 2z = b₃ has at least one solution. Then, which of the following system(s) (in real variables) has (have) at least one solution for each [b₁ b₂ b₃]ᵀ ∈ S?