2-7x-1-5x-3-7x-4-5x- Solve forx-

Find the value ofx.(2 7x)/(1 5x)=(3+7x)/(4+5x)By applying alternendo,(2 7x)/(3+7x)=(1 5x)/(4+5x)Now applying Componendo and Dividendo,(2 7x)+(3+7x)/(2 7x) (3+7x ...

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Byju's Answer

Standard VIII

Mathematics

Solving Linear Equations Using Transpose of Terms

2-7x/1-5x=3+7...

Question

$\frac{(2 - 7 x)}{(1 - 5 x)} = \frac{(3 + 7 x)}{(4 + 5 x)}$ . Solve for $x$ .

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Solution

Find the value of $x$ .
$\frac{(2 - 7 x)}{(1 - 5 x)} = \frac{(3 + 7 x)}{(4 + 5 x)}$
By applying alternendo,
$\frac{(2 - 7 x)}{(3 + 7 x)} = \frac{(1 - 5 x)}{(4 + 5 x)}$
Now applying Componendo and Dividendo,
$\frac{(2 - 7 x) + (3 + 7 x)}{(2 - 7 x) - (3 + 7 x)} = \frac{(1 - 5 x) + (4 + 5 x)}{(1 - 5 x) - (4 + 5 x)} \frac{2 - 7 x + 3 + 7 x}{2 - 7 x - 3 - 7 x} = \frac{1 - 5 x + 4 + 5 x}{1 - 5 x - 4 - 5 x} \frac{5}{- 1 - 14 x} = \frac{5}{- 3 - 10 x} 5 (- 3 - 10 x) = 5 (- 1 - 14 x) - 15 - 50 x = - 5 - 70 x 70 x - 50 x = - 5 + 15 20 x = 10 x = \frac{10}{20} x = \frac{1}{2}$
Hence, the value of $x$ is $\frac{1}{2}$ .

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(2-7x)(1-5x)=(3+7x)(4+5x). Solve forx.

$\frac{(2 - 7 x)}{(1 - 5 x)} = \frac{(3 + 7 x)}{(4 + 5 x)}$ . Solve for $x$ .