Question

Find the value of a, b and c in the given linear equation in 2 variable :-

Answer step by step a good answer will be marked as brainliest

Answer 1

$Given \: Linear \: equation \:in \:two \\ variables\:x \:and \:y :$

$\frac{x}{2} - \frac{y}{3} = \frac{1}{6} + y$

/* Multiplying each term by 6, we get */

$\implies \frac{6x}{2} - \frac{6y}{3} = \frac{6}{6} + 6y$

$\implies 3x - 2y = 1 + 6y$

$\implies 3x - 2y - 6y - 1 = 0$

$\implies 3x - 8y - 1 = 0$

$\implies 3x + (-8)y + (-1) = 0$

/* Compare this with ax + by + c = 0 , we get */

$a = 3, b = -8 \:and \: c = -1$

Therefore.,

$\green { Values \: of \: a = 3 , b = -8 \:and \: c = -1}$

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