SOLUTION: Explain when a system of equations will have no solutions and when it will have an infinite number of solutions.

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Question 173638: Explain when a system of equations will have no solutions and when it will have an infinite number of solutions.
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
Equations describing the same line
· have an Infinite number of solutions such as.....x+y=3 and 3x+3y=9...these are the same lines....the 2nd is 3 time the first.
:
Lines that do not intersect (Parallel Lines; having the same slope)
have No solutions
example: y=2/3x+7
........y=2/3x+9

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