SOLUTION: is this true or false? If the graph of two linear equations is not parallel, then there may be no solution to the system

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Question 477268: is this true or false?
If the graph of two linear equations is not parallel, then there may be no solution to the system

Found 4 solutions by robertb, Joombug, richard1234, JML11:
Answer by robertb(5830)   (Show Source):
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In , false. There is either a unique solution or infinitely-many solutions.
In , true. The two lines may be skew.

Answer by Joombug(1)   (Show Source):
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False

Answer by richard1234(7193)   (Show Source):
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In (Euclidean 2-space) two non-parallel lines either meet at a unique point, or at infinitely many points, so false.

In (Euclidean 3-space), the statement is true because the lines could be skew.

Answer by JML11(1)   (Show Source):
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False