SOLUTION: the sum of two numbers is 2. Three times the sum of their reciprocals is 8. What are the numbers

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Question 400438: the sum of two numbers is 2. Three times the sum of their reciprocals is 8. What are the numbers
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 2,
3%281%2Fx+%2B+1%2Fy%29+=+8
==> 3%28%28x%2By%29%2F%28xy%29+%29=+8
==> 3%282%2F%28xy%29%29+=+8 ==> 3%2F%28xy%29+=+4
==> xy+=+3%2F4 ==> x%282-x%29+=+3%2F4
==> 8x+-+4x%5E2++=3
==> 0+=+4x%5E2+-+8x+%2B+3
==> 0 = (2x - 1)(2x - 3) ==> x = 1/2, 3/2.