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What is a dependent system?

Updated: 4/28/2022
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A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.

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Q: What is a dependent system?
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How many solutions does an consistent and dependent system of equations have?

It has more than one solutions.


How can you identify a dependent or inconsistent system by looking at an augmented matrix in reduced row-echelon form?

And your question is......................?


What type of system equation produces the solution set infinite solution?

If the equations of the system are dependent equations, which represent the same line; therefore, every point on the line of a dependent equation represents a solution. Since there are an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 3x + 2y = 8 6x + 4y = 16


What causes change in a dependent variable?

The dependent variable is dependent on the independent variable, so when the independent variable changes, so does the dependent variable.


What is consistent and dependent?

The terms consistent and dependent are two ways to describe a system of linear equations. A system of linear equations is dependent if you can algebraically derive one of the equations from one or more of the other equations. A system of linear equations is consistent if they have a common solution.An example of a dependent system of linear equations:2x + 4y = 84x + 8y = 16Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 16, which gives 16 = 16.No new information was gained from the second equation, because we already knew 16 = 16, so these two equations are dependent.An example of an inconsistent system of linear equations:Because consistency is boring.2x + 4y = 84x + 8y = 15Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 15, which gives 16 = 15.This is a contradiction, because 16 doesn't equal 15. Therefore this system has no solution and is inconsistent.

Related questions

Which IDS method is operating system dependent?

The IDS method that is operating system dependent is Network Based


If a dependent system of equations is solved how many solutions will there be?

if a dependent system of equation is solved, how many solutions will there be?


The circulatory system is most dependent on which other organ?

The circulatory system is dependent on the lungs. The lungs bring oxygen into the body, and the circulatory system transports that oxygen to body tissues.


When a system is dependent doesn't matter what number you plug in correct?

I am not really sure what you are asking, but a dependent system is a system that has a variable for an answer, therefore the answer can be any real number and the system has a infinite number of answers. Hope that helped


Society affects on transportation?

Yes, because transportation is dependent on the society. Improvement of the transportation system is dependent on the society.


When using a system -dependent (passive) recovery process on operating compressors technicians should?

When using a system-dependent (passive) recovery process on operating compressors technicians should


When using a system-dependent passive recovery process on operating compressors technicians should?

When using a system-dependent (passive) recovery process on operating compressors technicians should


When using a system-dependent (passive) recovery process on operating compressors technicians should?

When using a system-dependent (passive) recovery process on operating compressors technicians should


Why is international trade dependent on amoney exchange system?

awsuuu!


What is temperature dependent?

The amount of heat energy put into a system, (the molecular kinetic energy of a system)


Is it correct intensive properties are dependent on mass of the system?

No, intensive properties are independent on mass of the system.


Temperature is dependent on what?

The amount of heat energy put into a system, (the molecular kinetic energy of a system)