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$$x=\frac{a}{a-1};y=\frac{1}{a-1}$$
x is greater than y
y is greater than x only if a<1
x is equal to y
x is equal to y only if a<1
x is greater than y only if a<1
Case (i) When a > 1Let a = 2x = 2, y = 1$$\therefore$$ x > y
Case (ii) When a < 1Let a = 0x = 0, y = -1$$\therefore$$ x > y
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