Question 384751
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Hi,         
solving
{{{(x-8)/(x-9)=1/(x-9)}}}
Cross Multiplying to solve for x
 x-9 = (x-8)(x-9)
 x -9 = x^2 -17x + 72
  x^2 - 18x + 81 = 0
factoring
(x -9)(x -9)=0 Note:SUM of the inner product(-9x) and the outer product(-9x) = -18x
(x -9)= 0
(x -9)=0
  x = 9