Respuesta :

The soultion of the given equation 1/4x - 3/4 = 7/x for x is 9.

According to the given question.

We have an equation 1/4x - 3/4 = 7/x.

As we know that, as we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.

Therefore, the solution of the equation 1/4x - 3/4 = 7/x is given by

1/4x - 3/4 = 7/x

⇒ 1/4x - 7/x -3/4 = 0

⇒  1- 28/4x = 3/4

⇒ 27/4x = 3/4

⇒ 27  = (3/4)(4x)

⇒ 27 = 3x

⇒ 27/3  = x

⇒ x = 9

Hence, the soultion of the given equation 1/4x - 3/4 = 7/x for x is 9.

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