Question

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

Answer 1

do u have a specific problem u r working on?

Answer 2

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

Answer 3

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?

Answer 4

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

Answer 5

In which case:

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