Solve the problem The he downt In other words find the gener

Solve the problem. The he downt In other words, find the general solution of the system of equations that describes the flow. In your general solution let x4 be free 200 700 400 X5 600 300 100 1 500 X4 2 E 400 x4 3 300 -x4 x4 is free 5 200 1 600 x4 2 400 x4 3 300 x4 x4 is free 5 300 O x1 600 x5. 2 E 400 x5 3 300 x5 X4 300 x5 is free 1 600 x4 2 400 x4 3 300 x4 4 is free 5 300 ty di g a typ

Solution

From the Fig

x1 +x4 = 400 +200

x1 + x4 = 600              (1)

x1 = 600 - x4                 (2)

We can see that x3 and x4 are meeting at a common point

x3 + x4 = 300              (3)

x3 = 300 - x4               (4)

x2 and x3 are coming from a sngle point

x2 +x3 = 600 +100  

x2 + x3 = 700                (5)

using value of x3 from eq (4) we get

x2 + 300 - x4 = 700

x2 - x4 = 400

x2 = 400 + x4        (6)

x4 is free

also x1 and x2 meet at a common point

x1 + x2 = 700 + x5

(600 - x4) + (400 + x4) = 700 + x5

1000 = 700 + x5

x5 = 300

last option