Question
A system of equations can only have 1 solution.
True
False
True
False
Answers
GPT-4o mini
False. A system of equations can have:
1. One solution (the lines/planes intersect at a single point).
2. No solution (the lines/planes are parallel or represent inconsistent equations).
3. Infinitely many solutions (the lines/planes coincide).
Thus, it is not accurate to say that a system of equations can only have one solution.
1. One solution (the lines/planes intersect at a single point).
2. No solution (the lines/planes are parallel or represent inconsistent equations).
3. Infinitely many solutions (the lines/planes coincide).
Thus, it is not accurate to say that a system of equations can only have one solution.