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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