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How to Set up a linear system whose solution provides the unknown flow rates?
Wiki User
∙ 11y ago
2. The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. (a) Set up a linear system whose solution provides the unknown flow rates.
Concept Review
• Network
• Branches
• Nodes
• Flow conservation
• Electrical circuits: battery, resistor, poles (positive and negative), electrical potential, Ohm's law, Kirchhoff's current law, Kirchhoff's voltage law
• Chemical equations: reactants, products, balanced equation • Interpolating polynomial
Skills
• Find the flow rates and directions of flow in branches of a network. • Find the amount of current flowing through parts of an electrical circuit. • Write a balanced chemical equation for a given chemical reaction. • Find an interpolating polynomial for a graph passing through a given collection of points.(b) Solve the system for the unknown flow rates. (c) Find the flow rates and directions of flow if and .
Wiki User
∙ 11y ago
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What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What is a linear system with infinitely many solution?
It is a system in which the solution set is a straight line.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
Whats the difference between a linear equation and a system of linear equations?
Quite simply, the latter is a group of the former.A system of linear equations is several linear equations taken together, each using the same group of unknowns. Usually, such a system provides one linear equation for each unknown (x, y, z, et al) that must be found (more complex systems can exist, though). You can use and manipulate these linear equations as you would a single linear equation to help solve for the unknowns. One way is to reduce all but one of the unknowns so that each can be expressed in terms of the remaining unknown and then solve for the remaining unknown which would in turn give you the others.
System of linear equation in one unknown?
A system of linear equations that has one unknown is a set of equations that all depend on the same variable. An example is y = 1 + 3x and y = 4 + 7x.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What is inconsistent system of linear equation?
It is a system of linear equations which does not have a solution.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What is a linear system with infinitely many solution?
It is a system in which the solution set is a straight line.
Why a system of linear equations cannot have exactly two solutions?
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
Is it possible for a system of two linear inequalities to ha a single point as a solution?
yes it is possible for a system of two linear inequalities to have a single point as a solution.
Does every system of a linear equation have a solution?
No, if two lines are parallel they will not have a solution.
What If a system of linear equations has no solution?
It can happen. Then there is no solution!It can happen. Then there is no solution!It can happen. Then there is no solution!It can happen. Then there is no solution!
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
Whats the difference between a linear equation and a system of linear equations?
Quite simply, the latter is a group of the former.A system of linear equations is several linear equations taken together, each using the same group of unknowns. Usually, such a system provides one linear equation for each unknown (x, y, z, et al) that must be found (more complex systems can exist, though). You can use and manipulate these linear equations as you would a single linear equation to help solve for the unknowns. One way is to reduce all but one of the unknowns so that each can be expressed in terms of the remaining unknown and then solve for the remaining unknown which would in turn give you the others.
System of linear equation in one unknown?
A system of linear equations that has one unknown is a set of equations that all depend on the same variable. An example is y = 1 + 3x and y = 4 + 7x.
