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Q: Why are homogeneous equations never inconsistent?
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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 equations will be inconsistent if it has a non-trivial solution, meaning that the variables can be simultaneously set to values other than zero. This can occur when the number of equations is greater than the number of unknowns in the system.


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.


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.


What are the three kinds of linear equations?

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