Reduce the system of equations into echelon form and solve:

x₁ – 2x₂ – x₃ + 3x₄ = 0

-2x₁ + 4x₂ + 5x₃ – 5x₄ = 3

3x₁ – 6x₂ – 6x₃ + 8x₄ = 2