Solve the Problem $x _ { 1 } = 600 + x _ { 5 }$

question 46

Multiple Choice

Solve the problem.
-The network in the figure shows the traffic flow (in vehicles per hour) over several one-way streets in the downtown area of a certain city during a typical lunch time. Determine the general flow
Pattern for the network.
In other words, find the general solution of the system of equations that describes the flow. In your
General solution let x4 be free.

• A) \(x _ { 1 } = 600 + x _ { 5 }\) \(x _ { 2 } = 400 - x _ { 5 }\) \(x _ { 3 } = 300 - x _ { 5 }\) \(x _ { 4 } = 300\) \(x _ { 5 }\) is free
• B) \(x 1 = 600 - x _ { 4 }\) \(x _ { 2 } = 400 - x _ { 4 }\) \(x _ { 3 } = 300 + x _ { 4 }\) \(x _ { 4 }\) is free \(x _ { 5 } = 300\)
• C) \(x _ { 1 } = 600 - x _ { 4 }\) \(x _ { 2 } = 400 + x _ { 4 }\) \(x _ { 3 } = 300 - x _ { 4 }\) \(x _ { 4 }\) is free \(x _ { 5 } = 300\)
• D) \(x _ { 1 } = 500 + x _ { 4 }\) \(x _ { 2 } = 400 - x _ { 4 }\) \(x _ { 3 } = 300 - x _ { 4 }\) \(x _ { 4 }\) is free \(x _ { 5 } = 200\)

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Definitions:

Mortgage

A legal agreement by which a bank, credit union, or other lender lends money at interest in exchange for taking title of the borrower's property, with the condition that the conveyance of title becomes void upon the payment of the debt.

Default

The failure to fulfill a legal obligation, such as not making a scheduled payment on a loan.

Public Restrictions

Legal limitations placed by government entities on how properties can be used, often to designate zoning and land use.

Private Restrictions

Limitations imposed by private parties rather than governmental entities on the use of property, often found in deeds or homeowners' association rules.