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Math Multiple Choice

If xy  = 2 and xy 2 = 8, what is the value of x ?

  • (A) 1/2   CORRECT ANSWER
  • (B) 2
  • (C) 4
  • (D) 8
  • (E) 16
Explanation:

Substituting xy  = 2 into the equation xy2 = 8, you will obtain (xy)y = 2y = 8, thus y = 4. To find x, substitute y = 4 into one of the two original equations to obtain x = 1/2. The answer to this problem is (A).

(from the October 17, 1998 test)

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