Are x and y both positive?
(1) 2x-2y=1
(2) x/y>1
For A) 2x - 2y = 1 -----> x - y = 1/2. You can have 0 - (-1/2) = No or You can have +1 - (+1/2) = Yes. So A is insufficient.
For B) x/y > 1 ---> Either X and Y are both + or X and Y are both negative. So B is insufficent. NOTE: |x| > |y|.
For A+B.
Have x and y be positive and make it work with equation A. So +1 - (+1/2) = 1/2 Yes.
.... be negative and make it work with equation B. So -1 - (-y) = 1/2. y = (3/2) which is > |x|. So you will see that two negatives cannot work because it violtates the rule that x/y > 1. So for A+B the answer is yes.
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