Write the given linear equation in the form: $a x + b y + c = 0$ and indicate the values $a, b$ and $c$ :
$- 3 x + 5 y = 14$

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Solution

Expressing the given equation in form of $a x + b y + c = 0$ and Finding values of $a, b$ and $c$ $:$
The linear equation is given in the form of $a x + b y + c = 0$
Let the given equation $- 3 x + 5 y = 14$ be written as $;$
$- 3 x + 5 y - 14 = 0$ $\cdot \cdot \cdot \cdot (i)$
On comparing equation $(i)$ with $a x + b y + c = 0$
we get, $a = - 3, b = 5$ and $c = - 14$
Therefore, from the linear equation $- 3 x + 5 y - 14 = 0$ , we get the value of $a$ is $- 3$ , $b$ is $5$ and $c$ is $- 14$

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