How to Correctly Solve the Circuit with Supernode Equations?

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The discussion revolves around solving a circuit using supernode equations, specifically addressing an error in the matrix for question four. The user has formulated a supernode equation but is uncertain about the treatment of a 34V source following a 39 Ohm resistor. They correctly identified the contributions of various currents but are seeking clarification on the missing voltage source in their calculations. The focus is on ensuring all components, including voltage sources, are accurately represented in the equations. Properly incorporating all elements is crucial for achieving the correct solution in circuit analysis.
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Homework Statement



http://piazza.com/view/gsqhumgwtax

Homework Equations


The Attempt at a Solution



I got everything right except in Q4 matrix (second equation 2nd and 3d slots)

my supernode equation is
I got this equation. Going clockwise
= -12+75(I1-I3)+14(I2-I3)+49(I4)=0
3048 = 75I1 + 14 I2 + 49I4

can anyone see what am i doing wrong
 
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What happened to the 34V source that follows the 39 Ohm resistor in the loop?
 
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