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Mathematics

For 5x=7x4\dfrac{5}{x} = \dfrac{7}{x - 4}, the value of x is:

  1. -10

  2. 10

  3. 5

  4. -5

Linear Eqns One Variable

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Answer

5x=7x4\dfrac{5}{x} = \dfrac{7}{x - 4}

On cross multiplying, we get :

⇒ 5 ×\times (x - 4) = 7 ×\times x

⇒ 5 ×\times x - 5 ×\times 4 = 7x

⇒ 5x - 20 = 7x

⇒ 5x - 7x = 20

⇒ - 2x = 20

⇒ x = - 202\dfrac{20}{2}

⇒ x = - 10

Hence, option 1 is the correct option.

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