Consider the equation:
$y + 7 x = 3 x - 2 y + 28$
If a point $(p, 8)$ satisfy the equation what is the value of $p$ ?

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Solution

The correct option is B $1$
Rearranging the equation, we get
$4 x + 3 y = 28$
$∵ (p, 8)$ satisfies the equation.
$4 p + 3 \times 8 = 28$
$\Rightarrow 4 p = 28 - 24 = 4$
$\Rightarrow p = 1$

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