Let x = the hourly traffic along Error Rd.,
let y = the hourly traffic along East St.,
let z = the hourly traffic along Round St.,
let u = the hourly traffic northbound along Up Ave.,
let v = the hourly traffic southbound along Up Ave.,
If we set traffic in = traffic out at each intersection, we get the following system of equations
-x + y - z = 100
x - u + v = 0
y - z - u + v = 100
and the general solution is:
x = u - v
y = z + u - v + 100
z, u, v arbitrary (and non-negative).
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