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Anthony has the equations of three lines: A,B and C. When he solves a system with equations A and B , he gets no solution. When he solves B and C, he gets infinite solutions. What solution will he get when he solves a system with equations A and C ? Justify your conclusion.

Answer :

He will get no solutions and this is for the following reasons:
1. A and B have no solutions, so they must be parallel.
2. B and C have infinite solutions, so they must represent the same line.

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