Set up a linear system of equations for the following traffi

Set up a linear system of equations for the following traffic flow problem and solve.

Solution

Node 1: x1 + x5 = x2 +20

x1 +x5 -x2 = 20 -----(1)

Node 2 : x2+ 40 = x3 + 30

x2 -x3 = -10 ----(2)

Node 3 : x4 = x5 +15

x4 - x5 = 15

Node 4 : x4 = x3 +60

x4 -x3 = 60 -------(4)

(1), (2) , (3) and (4) are the system of equations