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So I have the following problem:

enter image description here

And I have obtained the following system of equations: $\begin{align*} -x_1+x_2&=400\\ x_1+x_3-x_4&=600\\ x_2+x_3+x_5&=300\\ x_4+x_5&=100 \end{align*}$

By using the Gaussian elimination method, I found the following system of equations (using rref() on a TI83):

$\begin{align*} x_1+x_3+x_5&=0\\ x_2+x_3+x_5&=0\\ x_4+x_5&=1\\ 0&=1 \end{align*}$

I would like some clarification as to what I am doing wrong.

Thank you.

  • 0
    Thanks for the explanation.2011-05-23

1 Answers 1

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Your first balanced flow equation is incorrect, it should be: $x_1 - x_2 = 400$