Respuesta :

mhanifa

Answer:

Given equation:

  • 1 - 2/(x - 2) = (x + 1)/(x + 2)

Correct solution:

  • (x - 2 - 2)/(x - 2) = (x + 1)/(x + 2)         complete the fraction on the left
  • (x - 4)(x + 2) = (x + 1)(x - 2)                 cross-multiply
  • x² + 2x - 4x - 8 = x² - 2x + x - 2         open parenthesis
  • -2x - 8 = -x - 2                                    simplify
  • -x = 6
  • x = -6

Errors

  • Step 1.  not counting 1 as part of equation. It wasn't included into fraction.
  • Step 1.  not multiplying (x - 2) by 1.
  • Step 4. - x + 2x = -2x is incorrect, it should be x

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