Question

Q:-x / 2x - 2 = x+5 / 2x + 6
solve the following linear equation.

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Answer 1

Step-by-step explanation:

$\pink{\bold{\underline{ ✪ UPSC-ASPIRANT✪ }}}$

$\red{\bold{\underline{\underline{Question᎓}}}}$ x / 2x - 2 = x+5 / 2x + 6

solve the following linear equation.

$\huge\tt\underline\blue{Answer </p><p> }$

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$⟹ \frac{x}{2x - 2} = \frac{x + 5}{2x + 6}$

$⟹x(2x + 6) = (2x - 2)(x + 5)$

$⟹2 {x}^{2} + 6x = 2x(x + 5) - 2(x + 5)$

$⟹2 {x}^{2} + 6x = 2 {x}^{2} + 10x - 2x - 10$

$⟹2 {x}^{2} + 6x = 2 {x}^{2} + 8x - 10$

$⟹8x - 6x - 10 = 0$

$⟹2x = 10$

$⟹x = \frac{10}{2} = 5$✓

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HOPE IT HELPS YOU..

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Answer 2

Answer:

l

⟹x(2x + 6) = (2x - 2)(x + 5)

$\sf \: ⟹2 {x}^{2} + 6x = 2x(x + 5) - 2(x + 5)$

⟹

$\sf \: 2 {x}^{2} + 6x = 2 {x}^{2} + 10x - 2x - 10</p><p>$

⟹

$\sf \: 2 {x}^{2} + 6x = 2{x}^{2}+ 8x - 10$

⟹8x - 6x - 10 = 0

⟹2x = 10

⟹x = 10/2

=5