Use the Gauss-Jordan elimination method to solve each of the following systems of equations:

3(a) 2x₁ - 3x₂ = 2
-x₁ + 2x₂ = -3
3x₁ - 4x₂ = 1

3(b) x₁ + 5x₂ + 10x₃ = 17
-x₁ + 7x₂ + 14x₃ = 19
5x₁ + 8x₂ + 4x₃ = 16