The operation ○ is defined by the equation
x ○ y = (x-y)/(x+y), where y ≠ -x. If 3
○ y = 5 ○ 4, then y =
A. 1/9
B. 4/15
C. 5/12
D.
12/5
E. 15/4
因为x ○ y = (x-y)/(x+y)
所以3○ y = (3-y)/(3+y),
5○4=(5-4)/(5+4)=1/9
所以(3-y)/(3+y)=1/9, y=12/5
3○ y=(3-y)/(3+y); 5 ○ 4=(5-4)/(5+4)=1/9
so if 3○ y = 5 ○ 4, then(3-y)/(3+y) =1/9, so y=24/10=12/5
D is correct.
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