SOLUTION: step-by-step help solving 6/y+3 + 2/y = 5y-3/y^2-9 step-by-step help solving 2/x+5 + 1/x-5 = 16/x^2-25

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Question 465729: step-by-step help solving 6/y+3 + 2/y = 5y-3/y^2-9
step-by-step help solving 2/x+5 + 1/x-5 = 16/x^2-25
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Multiplying thru by term such as ALL denominators = 1

6%2F%28y%2B3%29%2B+2%2Fy+=+%285y-3%29%2F%28y%5E2-9%29  |multiplying thru by y(y^2-9)

   6y(y-3) + 2(y^2-9)= (5y-3)y

  6y^2 - 18y + 2y^2 - 18 = 5y^2 - 3y

     3y^2 - 15y - 18 = 0

      y^2 - 5y - 6 = 0 

 factoring

   (y-6)(y+1) = 0    y = 6 and y = -1 are the solutions



 2/(x+5) + 1/(x-5) = 16/(x^2-25)  |multiplying thru by x^2-25 = (x-5)(x+5)

  2(x-5) + (x+5) = 16

      3x = 21

       x = 7 is the solution