Can you please elaborate on how these equations were reached via nodal analysis? and how exactly did the equation for I come to be and also what changed in the circuit so we can get these values? thank you. also if u can add in what cases i can use nodal analysis and what should i look for to know that i'm supposed to use it would be greatly appreciated, thank you!

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.15P
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Can you please elaborate on how these equations were reached via nodal analysis? and how exactly did the equation for I come to be and also what changed in the circuit so we can get these values? thank you. also if u can add in what cases i can use nodal analysis and what should i look for to know that i'm supposed to use it would be greatly appreciated, thank you!

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