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Equations Reducible to the Linear Form

If 3m+4n=5....

Question

If $3 m + 4 n = 5$ .Find $m$ when $n = - 4$

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Solution

$3 m + 4 n = 5$
Put $n = - 4$ in above equation
$3 m + 4 (- 4) = 5$
$3 m - 16 = 5$
$3 m = 16 + 5$
$3 m = 21$
$m = \frac{21}{3}$
$m = 7$ .

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