When is a system of linear equations called consistent?

Only when it has exactly one solutionCorrect answerYour answerWhen it has no solutionCorrect answerYour answerOnly when its coefficient determinant is 0Correct answerYour answerWhen it has at least one solutionCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

A consistent system has one or more solutions; an inconsistent system has none.
So a system with infinitely many solutions is consistent too.

Worth noting

Exactly one solution is one kind of consistent system, not the only kind.

Concept: Consistent and inconsistent systems
Typical timeTypical: 60 s
Your timeYours: —

The rule this testsConsistency of a system of equations

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When is a system of linear equations called consistent?

Explanation