Question
If you solve a system of linear equations and end up with the result 0=0 , this means that the system has no solutions.
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Answered by
GPT-4o mini
False.
When you solve a system of linear equations and end up with the result \(0 = 0\), it indicates that the system has infinitely many solutions. This occurs when the equations are dependent, meaning they represent the same line or plane in a geometric sense. In contrast, a system with no solutions would typically result in a statement like \(0 = 5\), indicating a contradiction.
When you solve a system of linear equations and end up with the result \(0 = 0\), it indicates that the system has infinitely many solutions. This occurs when the equations are dependent, meaning they represent the same line or plane in a geometric sense. In contrast, a system with no solutions would typically result in a statement like \(0 = 5\), indicating a contradiction.
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