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# If (3/y + 2)(y - 5) and y ≠ 5, then y =

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Math Expert
Joined: 02 Sep 2009
Posts: 52905
If (3/y + 2)(y - 5) and y ≠ 5, then y =  [#permalink]

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11 Feb 2019, 23:28
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Question Stats:

91% (01:10) correct 9% (01:01) wrong based on 11 sessions

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If $$(\frac{3}{y} + 2)(y - 5)=0$$ and y ≠ 5, then y =

(A) -3/2
(B) -2/3
(C) 2/3
(D) 3/2
(E) 6

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Joined: 31 Oct 2013
Posts: 1116
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If (3/y + 2)(y - 5) and y ≠ 5, then y =  [#permalink]

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11 Feb 2019, 23:35
1
Bunuel wrote:
If $$(\frac{3}{y} + 2)(y - 5)=0$$ and y ≠ 5, then y =

(A) -3/2
(B) -2/3
(C) 2/3
(D) 3/2
(E) 6

y can't be 5.

( y - 5) = 0

y = 5.

we must ignore this value.

(3/y + 2 )

$$\frac{3 + 2y}{y}$$ =0

3 + 2y = 0

2y = -3

y = -$$\frac{3}{2}$$

A is the correct answer.
Director
Joined: 09 Mar 2018
Posts: 903
Location: India
Re: If (3/y + 2)(y - 5) and y ≠ 5, then y =  [#permalink]

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11 Feb 2019, 23:39
Bunuel wrote:
If $$(\frac{3}{y} + 2)(y - 5)=0$$ and y ≠ 5, then y =

(A) -3/2
(B) -2/3
(C) 2/3
(D) 3/2
(E) 6

now if y != 5

we can equate the previous expression to 0

3/ y = -2

y =-3/2

A
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Re: If (3/y + 2)(y - 5) and y ≠ 5, then y =   [#permalink] 11 Feb 2019, 23:39
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# If (3/y + 2)(y - 5) and y ≠ 5, then y =

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