Question

find the value of the following​

Answer 1

Question:-

Find the value of x:-

x = 5/4(x–10)

Answer:-

• The value of x is 50.

Solution:-

$\large{ \tt : \implies \: \: \: \: x = \frac{5}{4} (x - 10)}$

$\large{ \tt : \implies \: \: \: \: x = \frac{5}{4} x - \frac{5}{4} \times 10}$

$\large{ \tt : \implies \: \: \: \: x = \frac{5}{4} x - \frac{25}{2} }$

$\large{ \tt : \implies \: \: \: \: x - \frac{5}{4} x = \frac{ - 25}{2} }$

$\large{ \tt : \implies \: \: \: \: \frac{4x - 5x}{4} = \frac{ - 25}{2} }$

$\large{ \tt : \implies \: \: \: \: \frac{ - x}{4} = \frac{ - 25}{2} }$

After cross multiplication,

$\large{ \tt : \implies \: \: \: \: - x \times 2 = - 25 \times 4}$

$\large{ \tt : \implies \: \: \: \: - x = \frac{ - 25 \times 4}{2} }$

$\large{ \tt : \implies \: \: \: \: - x = - 25 \times 2}$

$\large{ \tt : \implies \: \: \: \: - x = - 50}$

$\large{ \tt : \implies \: \: \: \: x = 50}$

• The value of x is 50.

Answer 2

Given Equation

• $\sf{x = \dfrac{5}{4}(x - 10)}$

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Solution

• This question is done by step by step, so you can understand it properly.

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$\tt\longmapsto{x = \dfrac{5}{4}(x - 10)}$

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$\tt\longmapsto{x = \dfrac{5(x - 10)}{4}}$

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$\tt\longmapsto{x = \dfrac{5x - 50}{4}}$

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$\tt\longmapsto{4x = 5x - 50}$

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$\tt\longmapsto{5x - 4x = 50}$

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$\tt\longmapsto{x = 50}$

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★ Value of x is 50

• Option A is the correct option.

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$\huge\underline{\bf{Verification}}$

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★ Putting x = 50

$\tt:\implies{50 = \dfrac{5}{4}(50 - 10)}$

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$\tt:\implies{50 = \dfrac{5}{\cancel{4}} \times \cancel{40}}$

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$\tt:\implies{50 = 5 \times 10}$

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$\tt:\implies{50 = 50}$

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$\tt:\implies{L.H.S = R.H.S}$

$\underline{\underline{\mathcal{\pink{Verified}}}}$

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