ASAP!!!!!

True or False: A consistent system occurs when the lines or planes formed don't meet
at any point and are not parallel.

a) True

b) False

Respuesta :

Answer: b) False

Explanation:

The portion where it says "don't meet at any point" is why the overall statement is false. A consistent system does have the lines or planes meeting at least one point; otherwise, the system is inconsistent with no solutions. Each intersection is a solution.

The statement is false .

What does it means when a system is consistent?

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent .

According to the question

A consistent system occurs when the lines or planes formed don't meet

at any point and are not parallel.

As per Systems of equations

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent .

Therefore,

This statement is false as it states that when the lines or planes formed don't meet to become a consistent system the system must has at least one solution.

Hence, The statement is false .

To know more about consistent system here:

https://brainly.com/question/4164291

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