Question
Can a system of equations have one solution?
No, systems of equations never have any solutions.
Yes, systems of equations can always be solved to find one solution.
No, because systems always have an infinite number of solutions.
Yes, most of the time a system of equations can be solved to find one solution.
No, systems of equations never have any solutions.
Yes, systems of equations can always be solved to find one solution.
No, because systems always have an infinite number of solutions.
Yes, most of the time a system of equations can be solved to find one solution.
Answers
Answered by
GPT-4o mini
The correct answer is: **Yes, most of the time a system of equations can be solved to find one solution.**
A system of equations can have one solution (which occurs when the equations represent lines that intersect at a single point), no solutions (when the equations represent parallel lines), or infinitely many solutions (when the equations represent the same line). Thus, while not all systems have one solution, many do.
A system of equations can have one solution (which occurs when the equations represent lines that intersect at a single point), no solutions (when the equations represent parallel lines), or infinitely many solutions (when the equations represent the same line). Thus, while not all systems have one solution, many do.
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