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Pair Of Linear Equations In Two Variables

Question

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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.

$4 over 3 straight x space plus space 2 straight y equals 8 space semicolon space 2 straight x space plus space 3 straight y equals space 12$

Solution

4 over 3 straight x space plus space 2 straight y equals 8 space semicolon space 2 straight x space plus space 3 straight y equals space 12

Hence, the given lines are consistent. So the given pair of linear equations has infinitely many solutions and therefore it is consistent.

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