See figure for question, and other figure for my work.

I'm pretty confident my KCL equations are correct, but the numbers are so shitty so shitty algebra follows.

Anyone know any efficient way to solve 3 equations with 3 unknowns like this?

I've found it sucks regardless, and I still can't get the right answer.

 

Solving simultaneous equations of more than two or three unknown variables are best done with softwares like Matlab,Octave or if you want to solve it by hands the you could use matrix method but as the unknown variables increase it becomes more messy and hard to manage.

Good Luck

 

Well for this circuit try to use Thevenin or Norton theory.

 

Solving simultaneous equations of more than two or three unknown variables are best done with softwares like Matlab,Octave or if you want to solve it by hands the you could use matrix method but as the unknown variables increase it becomes more messy and hard to manage.

Good Luck

Yup, I solved my equations wrong. I got it using Cramers rule.

Thanks again!