allerySolve 1/x + 1/y = 1/3 and 1/x − 1/y = 1/12.
Ax = 24/5, y = 8
Bx = 4, y = 6
Cx = 6, y = 4
Dx = 8, y = 24/5
Answer & Solution
Correct answer: A. x = 24/5, y = 8
Let u = 1/x, v = 1/y.
u + v = 1/3 and u − v = 1/12. Adding: 2u = 5/12
⇒ u = 5/24 ⇒ x = 24/5. Subtracting: 2v = 1/4 ⇒ v = 1/8 ⇒ y = 8.
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