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BrentGMATPrepNow
If \(\frac{x}{w}-\frac{x}{y}=0\), what is the value of \(y\)?

(1) \(w^2 + 4 = 4w\)
(2) \(w^2 + w - 6 = 0\)


question is seeking a unique value of y.
I re-wrote the fraction as xy-xw / wy =0
x(y-w)=0

either of the factors can be 0. y doesn't need to equal w if x is 0
if x is non-zero, y=w

Both statements show just w so cannot determine what x is or whether there is a relation between x and y or x and w.

Choice E
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ritzu
I solved this the hard way and I got E

S1: found the value to be 2 for w solving via quadratic equations and then substituted into the equation. but since we dont know what x & y. this is insufficient to find Y. S1 - Insufficient.

S2: Didnt solve because again we would get w but we dont know x and y. hence insufficient.

S1& S2: we have W but dont have X & Y hence this would be insufficient.

E

BrentGMATPrepNow, is this an acceptable thought process? thank you!

I think that sounds correct.

It's worth noting that, if I had noted that x ≠ 0 in the original question, then the correct answer would be A.
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BrentGMATPrepNow

I actually did the same process as ritzu.

Even though you can do a common denominator, being absent the condition for x=!0, multiple values are allowed. Since you can find w in both of the cases but you still have x and y as unknowns. Plus, by doing the common denominator, you can group by x and you have at the numerator xy-xw=0, which is x(y-w)=0. Then again, not knowing x or y cannot assure us a unique value for y.

What do you think?
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