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# If x is 2 greater than the reciprocal of y+2, then what the value of y

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Re: If x is 2 greater than the reciprocal of y+2, then what the value of y [#permalink]
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GMATPrepNow wrote:
If x is 2 greater than the reciprocal of y+2, then what the value of y in terms of x?

A) $$\frac{5+2x}{2-x}$$

B) $$\frac{5+2x}{x-2}$$

C) $$\frac{5-2x}{x-2}$$

D) $$\frac{5-2x}{2+x}$$

E) $$\frac{5x+2}{2-x}$$

translating question into math:

x = 2 + 1/(y+2)............. x-2= 1/(y+2)

(y+2) (x-2)= 1

Let x =3 & y=-1

Apply x in each answer choice to get y=-1:

A) $$\frac{5+2x}{2-x}$$=$$\frac{11}{-1}$$...............Eliminate

B) $$\frac{5+2x}{x-2}$$=$$\frac{11}{1}$$................Eliminate

C) $$\frac{5-2x}{x-2}$$=$$\frac{-1}{1}$$....................Keep

D) $$\frac{5-2x}{2+x}$$=$$\frac{-1}{5}$$...............Eliminate

E) $$\frac{5x+2}{2-x}$$=$$\frac{17}{-1}$$...............Eliminate

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Re: If x is 2 greater than the reciprocal of y+2, then what the value of y [#permalink]
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Re: If x is 2 greater than the reciprocal of y+2, then what the value of y [#permalink]
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