Finding node voltages in a linear circuit

[akaCrazed]

Homework Statement

I attempted to solve this problem using the node method, however, I was unable to come up with the correct answers. Any help/guidance would be appreciated, thank you!

Relevant Equations

Kirchhoff's Current and Voltage Laws
Node Method

Attached is my work for the voltages, and the problem itself.

 

[trurle]

Problem Statement: I attempted to solve this problem using the node method, however, I was unable to come up with the correct answers. Any help/guidance would be appreciated, thank you!
Relevant Equations: Kirchhoff's Current and Voltage Laws
Node Method

Attached is my work for the voltages, and the problem itself.

I1 and I2 are in parallel connection, equal magnitude and opposite direction, and therefore cancels out.

 

[gneill]

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