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Pair Of Linear Equations In Two Variables

Question
CBSEENMA10006441

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 and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide.

5x - 4y + 8 = 0, 7x + 6y - 9 = 0

Solution
Comparing the given equations with standard forms of equations a1x + b1y + c1, = 0 and a2x + b2y + c2 = 0 we have,
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Thus, the lines representing the pair of linear equations are intersecting.