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WAEC Mathematics 1996 Question 10

Question 10

Algebraic Expressions

Simplify 5/(x − y) − 4/(y − x)

  1. A.9/(x − y)
  2. B.9/(y − x)
  3. C.1/(x − y)
  4. D.1/(y − x)
  5. E.(y − 9x)/(x − y)
Show the answer and explanation

Answer: A (9/(x − y))

Explanation

Since y − x = −(x − y), −4/(y − x) = +4/(x − y). So the sum is (5 + 4)/(x − y) = 9/(x − y).