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Let the operation -> be defined by a -> b = a-b/a+b for all numbers a and b, where a (is not equal to) b. If 1 -> 2=--2 -> x, what is the value of x?

A)4

B)3

C)2

D)--2

E)-4

Hi Tammy,

If a → b = (a-b)/(a+b)

1 → 2 = (1 - 2)/(1 + 2) = -1/3

-2 → x = (-2 - x)/(-2 + x)

Therefore,

-1/3 = (-2 - x)/(-2 + x)

cross-multiplying,

-1(-2 + x) = 3(-2 - x)

2 - x = -6 - 3x

-x + 3x = -6 - 2

2x = -8

x = -4

Regards

Advanced Math

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