Need help with Nodal Analysis. I have the work, just need a step explained.

AI Thread Summary
The discussion focuses on a request for assistance with nodal analysis in a circuit problem. The user is struggling to progress from the nodal equations to the next steps in their solution. A helpful response suggests replacing Ix with V1/10K in equation (2) to derive an expression for V1, which can then be substituted back into equation (1) to solve for V2. The user expresses gratitude for the clarification and acknowledges their initial confusion. The exchange highlights the importance of clear guidance in understanding nodal analysis techniques.
naivy
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Homework Statement



4wzrz.png


Homework Equations



V=IR, Nodal Analysis

The Attempt at a Solution



1 and 2 in the diagram are the nodal equations. Considering that the left node is V1 and that the right node is V2. I don't know how to get from the nodal equations to step 3. I know that you go from step 3 to step 4 using V=IR.

I tried solving the nodal equations to get to step 3...

Can someone please work it out for me? Thank you

Please help
 
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In (2) replace Ix with V1/10K. Solve for an expression for V1. Substitute this expression for V1 into (1). Solve for V2. All done.
 
gneill said:
In (2) replace Ix with V1/10K. Solve for an expression for V1. Substitute this expression for V1 into (1). Solve for V2. All done.

Ohh wow. Now I feel dumb(er, as many would argue here at pf)...

Thanks for the help gneill!
 
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