How do we determine if a system of linear equations is consistent or inconsistent?
Answer (1)
1) A pair of linear equations which has no solution is called an inconsistent pair of linear equations.
2) A pair of linear equations in two variables, which has one solution, is called a consistent pair of linear equations.
3) A pair of linear equations which are equivalent has infinitely many distinct common solutions.
4) Such a pair is called a dependent and consistent pair of linear equations in two variables.
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