can pair of linear equations have exactly two solutions
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Most linear systems you will encounter will have exactly one solution. However, it is possible that there are no solutions, or infinitely many. (It is not possible that there are exactly two solutions.) The word unique in this context means there is a solution, and it's the only one.
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A pair of linear equations can have only one solution, no solutions or infinitely many solutions. It is not possible to have exactly two solutions.
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