What are all of the possible classifications for a 3 × 3 system? Check all of the boxes that apply.

consistent and dependent

consistent and independent

inconsistent and dependent

inconsistent and independent

Respuesta :

Consistent and Dependent 
Consistent and Independent 
Inconsistent and Independent 

consistent and dependent

consistent and independent

A system of equations is said to be inconsistent if it has no solutions

A system of equations is consistent if it has at least one solution

A system of equations is said to be independent if it has just one solution

A system of equations is dependent if it has infinite number of solutions

A 3 x 3 system of equations is a system of equations in 3 variables. That is (x, y, z)

A 3 x 3 system of equations can be dependent, independent, or inconsistent

A 3 x 3 system of equations can be:

consistent and independent. (This means that it has just one solution)

Consistent and dependent (It has  infinite solutions)

If it is inconsistent, it can neither be dependent nor independent

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