agnok
If y>0 is x>y?
1. 5x-4y=3
2. 4y-5x=3
Given: \(y>0\). Question: is \(x>y\)?
(1) \(5x-4y=3\) --> if \(x=1\), then \(y=\frac{1}{2}\) and \(x>y\), so the answer to the question is YES but if \(x=3\), then \(y=3\) and \(x=y\), so the answer to the question is NO. Not sufficient.
(2) \(4y-5x=3\). Now if \(x\leq{0}\), then obviously \(y>0\geq{x}\) (so the answer to the question is NO). If \(x>0\) --> \(y=\frac{5}{3}x+\frac{3}{4}\) --> \(y\) equals to some
positive number more than \(x\) (as \(\frac{5}{3}x\) is more than \(x\))
plus positive number (\(\frac{3}{4}\)), so \(y\) is definitely more than \(x\) and again answer to the question is NO. Sufficient.
Answer: B.
But this is not a good question as:
on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other and in our question no pair of (x,y) is possible to satisfy both statements, hence they both can not be true.
Hope it helps.