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Finding solution for consistent pair of LE

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Question

Find whether the following pair of linear equations is consistent or inconsistent: 3x + 2y = 8, 6x – 4y = 9

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Solution

$\frac{a 1}{a 2} = \frac{3}{6} = \frac{1}{2}$

$\frac{b 1}{b 2} = \frac{2}{- 4} = \frac{1}{- 2}$

$\frac{a 1}{a 2} \neq \frac{b 1}{b 2},$

Therefore, given pair of linear equations is consistent.

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Finding solution for consistent pair of LE

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