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It depends on the equations.

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โˆ™ 2015-12-28 20:31:37
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

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Q: Are Linear equation systems consistent or inconsistent?
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What are the three kinds of linear equations?

The three types of linear equations are: Consistent Dependent, Consistent Independent, and Inconsistent.

What is inconsistent system of linear equation?

It is a system of linear equations which does not have a solution.

When will the system of linear equation be consistent?

When its matrix is non-singular.

In solving a system of two linear equations or two functions by graphing what is meant by if the system is consistent or inconsistent?

A system of linear equations is consistent if there is only one solution for the system. Thus, if you see that the drawn lines intersect, you can say that the system is consistent, and the point of intersection is the only solution for the system. A system of linear equations is inconsistent if it does not have any solution. Thus, if you see that the drawn lines are parallel, you can say that the system is inconsistent, and there is not any solution for the system.

What do you call the three systems of linear equation?

Single answer. Coincidental (same equation), No solution.

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.

What types of lines would be the result of an inconsistent system of equation?

If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.

What are the possible solutions for a pair of linear equation?

Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.

What are the three types of systems of linear equations and their characteristics?

Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.

Who discovered the systems of linear equation?

The history of linear algebra begins with Leibniz in 1693 who studied determinants. In 1750, Cramer invented a rule (Cramer's rule) for solving linear systems.

For systems in which there is no linear equation you can isolate and substitute a variable that is what in both equations?


What type of system of linear equation is y equals -3x-1 and 3x plus -1?

A consistent system.

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