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The flow through acommunication circuit is modeled by the graph below. Solve the circuit.

Let the face be a circut

120 -----> --x2---> -----> 150

^ ^

l x1 l x3

l l

340 -----> --x4---> -----> 310

There is some formatting error with the x1 and x3, but x1 goes from the bottom left circuit to the top left circuit and x3 goes from the bottom right circut to the upper right circuit.

I just wanted someone to check what I have done to make sure it is correct and that I haven't forgotten anything. Thanks!

I have :

120 + x1 = x2

340 = x1 + x4

x2 + x3 = 150

x4 = 310 + x3

Matrix

-1 1 0 0 120

1 0 0 1 340

0 1 1 0 150

0 0 -1 1 310

after row reducing the matrix it comes out as

1 0 0 1 340

0 1 0 1 460

0 0 0 -1 -310

0 0 0 0 0

The equations are

x1 + x4 = 360

x2 + x4 = 460

x3 - x4 = 310

Is this correct? Am I missing something? Thanks!

Let the face be a circut

120 -----> --x2---> -----> 150

^ ^

l x1 l x3

l l

340 -----> --x4---> -----> 310

There is some formatting error with the x1 and x3, but x1 goes from the bottom left circuit to the top left circuit and x3 goes from the bottom right circut to the upper right circuit.

I just wanted someone to check what I have done to make sure it is correct and that I haven't forgotten anything. Thanks!

I have :

120 + x1 = x2

340 = x1 + x4

x2 + x3 = 150

x4 = 310 + x3

Matrix

-1 1 0 0 120

1 0 0 1 340

0 1 1 0 150

0 0 -1 1 310

after row reducing the matrix it comes out as

1 0 0 1 340

0 1 0 1 460

0 0 0 -1 -310

0 0 0 0 0

The equations are

x1 + x4 = 360

x2 + x4 = 460

x3 - x4 = 310

Is this correct? Am I missing something? Thanks!

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