The solution of the equation 2/y + 1/2 = 5/2y is y = 1
In this question, we have been given an equation.
2/y + 1/2 = 5/2y
We need to find the solution of given equation.
⇒ 2/y + 1/2 = 5/2y
⇒ (4 + y)/2y = 5/2y
⇒ 4 + y = 5
⇒ y = 5 - 4
⇒ y = 1
We need to check above solution.
So, substitute y = 1 in given equation.
⇒ 2/y + 1/2 = 5/2y
⇒ 2/(1) + 1/2 = 5/2(1)
⇒ 2 + 1/2 = 5/2
⇒ 5/2 = 5/2
⇒ LHS = RHS
Therefore, the solution of the equation 2/y + 1/2 = 5/2y is y = 1
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