Given : $a x + b y = d$ and $y = m x + c$ .
Find $x$ in terms of $b, c, d$ and $m$ .

x = \frac{d - b c}{a - b m}

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x = \frac{d + b c}{a + b m}

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x = \frac{d - b c}{a + c m}

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x = \frac{d - b c}{a + b m}

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Solution

The correct option is B $x = \frac{d - b c}{a + b m}$
Given, $a x + b y = d$
But $y = m x + c$
So, $a x + b (m x + c) = d$
$\Rightarrow a x + b m x + b c = d$
$\Rightarrow x (a + b m) = d - b c$
$\Rightarrow x = \frac{d - b c}{a + b m}$

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