Basic Circuit Analysis, having difficulties

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coachspoon
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Homework Statement



Hi, this is my first time posting so if there is any advice on how to make this post cleaner, please tell me! I've been stuck on a problem and I can't figure out what I'm doing wrong. I have attached the problem and the attempt at solving the problem below. I am supposed to find E1 using nodal analysis.

Homework Equations


In my work that I attached, I replaced the name E1 with node A. I also used a supernode between A and C.

The Attempt at a Solution


Homework Statement


I solved Va = 10/4, however the solution that my professor gave me says its supposed to be 42/3. Any help is appreciated!
 

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oh my goodness i didn't notice, I'm a bonehead haha! thank you! let me see if i can solve it properly now.
 
I have solved it using conductivity = 1/r. However, I am still getting an incorrect answer. Any help is appreciated!
 

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coachspoon said:
I have solved it using conductivity = 1/r. However, I am still getting an incorrect answer. Any help is appreciated!

Your new result looks good to me.