Traffic Modeling matrix

Question

I need help trying to write equations using the variables and values to solve the linear equations using the Gaussian elimination method.

Answer 1

 Take an example:

 

    X + 2y = 7

    3X + 5y = 18 

 

     Eliminate X from the equation"

 

      -3  X  -6Y = -21

       3 X  + 5Y = 18

     _____________

      0 X -  y = -3            X + 2( 3) = 7

      0x  + Y  = 3             X = 7 -6  = 1

 

   In   Gaussian Elimination we set it in rows of numbers:  just did the same operation first found X, then 

       substitute in the first equation solved for Y. Your final answer should be 1's in diagonal and 0          

          elsewhere.

   

   -3)  1     2   l 7        -3    -6  l -21      0   -1 l -3       0    1  l 3     1   0 l 1

          3     5  l 18       3     5   l 18       3    5 l  18      3    0  l 3     0   1 l 3