Describe the possible solution sets for a system of two linear equations, and explain why these are the only possibilities.

Question

nikato · Answer

do u have a specific problem u r working on?

anonymous · Answer

no its just a journal prompt for my online class and i am having a difficult time understanding.

nikato · Answer

ok. so there r three solution sets.

1. infinitely many when the 2 equations represent the same line.
2. only one point if they intersect.
3. none if the lines are parallel

does this make sense?

anonymous · Answer

yeah i understand now i just didnt know what it was asking but i just covered this during my instruction. thankyou

anonymous · Answer

In which case:

1) The solution is all real numbers,
2)The solution is a point (x,y)
3)There is no solution

nikato · Answer

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