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What is a inconsistent system?

An inconsistent system of equations is when you have 2 or more equations, but it is not possible to satisfy all of them at the same time. (E.g if you have 3 equations, but can only satisfy 2 at once, it is an inconsistent system).


What describes a system of equations that has no solution?

Inconsistent.


What is a inconsistent line?

its a system of equations, with no solution


If a system of equations is inconsitient how many solutions will it have?

If a system of equations is inconsistent, there are no solutions.


How many solutions does an inconsistent system of equations have?

If a system is inconsistent it cannot have any solutions.A system of equations is considered inconsistent when the lines are parallel which means they never intersect so there are no solutions.A system is considered consistent when they intersect at one point and have one solution (Also known as an independent system of equations).Dependent Systems are when the lines coincide (the same equation) so they have an infinite number of solutions.


When will a homogeneous system of equations be inconsistent?

A homogeneous system of eqs: Ax=0 will always be consistent, since x=0 is always a possible solution. However, if det(A)=0 then there will be infinite solutions, as |A|=0 implies that either no solutions or infinitely many exist, and it is impossible for no solutions to exist to Ax=0. If det(A) is non 0, then x=0 is the only solution, as |A| is not equal to 0 implies a unique solution only!(in this case x=0). Hope this helps!


Which best describes a system of equations that has no solution?

An "inconsistent" set of equations. If they are all linear equations then the matrix of coefficients is singular.


Can a system of linear equations have no solution?

Yes, a system of linear equations can have no solution, which occurs when the equations are inconsistent. This typically happens when the lines represented by the equations are parallel, meaning they have the same slope but different y-intercepts. As a result, they never intersect, indicating that there are no values for the variables that satisfy all equations simultaneously.


Are Linear equation systems consistent or inconsistent?

It depends on the equations.


When will a system of linear equations be inconsistent?

When the matrix of coefficients is singular.


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.


How many solutions does a system of linear equations have if it is inconsistant?

A set of equations is inconsistent, if its solution set is empty.