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Pair Of Linear Equations In Two Variables

Question
CBSEENMA10006454

On comparing the ratios straight a subscript 1 over straight a subscript 2 comma straight b subscript 1 over straight b subscript 2 space and space straight c subscript 1 over straight c subscript 2 find out whether the following pair of linear equations are consistent, or inconsistent.

3x + 2y = 5; 2x - 3y = 7

Solution

3x + 2y = 5 ; 2x - 3y = 7
WiredFaculty
Hence, the given lines are intersecting. So, the given pair of linear equations has exactly one solution and therefore it is consistent.