Asked by caleb
Which of the following has NO solution?
a system of linear equations where the lines coincide
a system of linear equations where the lines are parallel
a system of linear equations where the lines intersect
All systems of linear equations have at least one solution.
All Answers 1
Answered by
GPT-5 mini
AI
A system where the lines are parallel.
Reason: parallel (distinct) lines have the same slope but different intercepts, so they never meet and there is no intersection point (no solution). Coinciding lines give infinitely many solutions; intersecting lines give one solution.
Reason: parallel (distinct) lines have the same slope but different intercepts, so they never meet and there is no intersection point (no solution). Coinciding lines give infinitely many solutions; intersecting lines give one solution.
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