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Solving Equations with Variables on Both Sides

Evaluate: 7...

Question

Evaluate: $\frac{7 x + 4}{x + 2} = \frac{4}{3}$ .

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Solution

Given, $\frac{7 x + 4}{x + 2} = \frac{4}{3}$

$\Rightarrow$ $(7 x + 4) 3 = 4 (x + 2)$ …[Cross-multiplying the denominators]

$\Rightarrow$ $21 x + 12 = 4 x + 8$ ...[By Distribution Law]

$\Rightarrow$ $21 x - 4 x = - 12 + 8$ ...[Transposing $x$ terms to one side]

$\Rightarrow$ $17 x = - 4$ ...[On simplifying]

$\Rightarrow$ $x = \frac{- 4}{17}$ .

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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