If the required method is applied, it produces divergence, especially if zero is the starting value for each variable. Other methods give the result:
V₁=87/64, V₂=221/64, V₃=51/32, which is consistent and satisfies the equations.
In decimal these are respectively: 1.3594, 3.4531, 1.5938 to 4 decimal places.
To full decimal accuracy they are: 1.359375, 3.453125, 1.59375.