The solution looks incorrect. For node voltage 3 analysis it should be in respect to node 3 not node 2, your equation seemed to be off at at least that point I'm gonna continue checking but it doesn't make sense physics wise the way you're doing your node analysis. It honestly looks like you plugged in the value for i-1 instead of making an equation for node 3 which would be V3 - V-2 divided by 1. If I am incorrect please explain why

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter7: Parallel Circuits
Section: Chapter Questions
Problem 3PP: Using the rules for parallel circuits and Ohmslaw, solve for the missing values....
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The solution looks incorrect. For node voltage 3 analysis it should be in respect to node 3 not node 2, your equation seemed to be off at at least that point I'm gonna continue checking but it doesn't make sense physics wise the way you're doing your node analysis. It honestly looks like you plugged in the value for i-1 instead of making an equation for node 3 which would be

V3 - V-2 divided by 1. If I am incorrect please explain why

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