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# If x + 3/x − 3 = y , what is the value of x in terms of y?

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If x + 3/x − 3 = y , what is the value of x in terms of y?  [#permalink]

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09 Apr 2019, 03:49
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15% (low)

Question Stats:

87% (01:23) correct 13% (02:19) wrong based on 31 sessions

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If (x + 3)/(x − 3) = y , what is the value of x in terms of y?

(A) 3 – y

(B) 3/y

(C) $$\sqrt{y +12}$$

(D) (−3y − 3)/(1− y)

(E) 3y^2

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Re: If x + 3/x − 3 = y , what is the value of x in terms of y?  [#permalink]

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09 Apr 2019, 03:52
Bunuel wrote:
If (x + 3)/(x − 3) = y , what is the value of x in terms of y?

(A) 3 – y

(B) 3/y

(C) $$\sqrt{y +12}$$

(D) (−3y − 3)/(1− y)

(E) 3y^2

given (x + 3)/(x − 3) = y

solve expression
we get x = (−3y − 3)/(1− y)
IMO D
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Re: If x + 3/x − 3 = y , what is the value of x in terms of y?  [#permalink]

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09 Apr 2019, 04:45
x + 3 = y(x - 3)

x + 3 = xy - 3y

x(1-y) = -3y - 3

$$x = \frac{-3y-3}{(1-y)}$$

OPTION: D
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If x + 3/x − 3 = y , what is the value of x in terms of y?  [#permalink]

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Updated on: 09 Apr 2019, 08:00
(x+3)/(x-3)=y
x+3=y(x-3)
x+3=xy-3y
x-xy=-3y-3
x is common in x and xy
So,
x(1-y)=-3y-3
Therefore, x=-3y-3/1-y

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Originally posted by Peachie on 09 Apr 2019, 07:58.
Last edited by Peachie on 09 Apr 2019, 08:00, edited 1 time in total.
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Re: If x + 3/x − 3 = y , what is the value of x in terms of y?  [#permalink]

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10 Apr 2019, 18:15
Bunuel wrote:
If (x + 3)/(x − 3) = y , what is the value of x in terms of y?

(A) 3 – y

(B) 3/y

(C) $$\sqrt{y +12}$$

(D) (−3y − 3)/(1− y)

(E) 3y^2

(x + 3)/(x - 3) = y

x + 3 = y(x - 3)

x + 3 = xy - 3y

x - xy = -3y - 3

x(1 - y) = -3y - 3

x = (-3y - 3)/(1 - y)

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Re: If x + 3/x − 3 = y , what is the value of x in terms of y?   [#permalink] 10 Apr 2019, 18:15
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