Question 192735: Do two linear equalities always have a solution? If not, why?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! if the lines are parallel, slopes are same, they will not intersect, and therefore not have a solution. Typically they might be x+y=5, and x+y =10.
If lines are the same, they overlap, and therefore have infinite solutions. (all points on line)
Typically we might find x+y=5, and 2x +2y =10, but 2nd reduces to x+y=5, or the same.
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