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JAMB Mathematics 2010 Question 16

Question 16

Linear and Simultaneous Equations

Solve for x and y if x − y = 2 and x2 − y2 = 8

  1. A.(1, 3)
  2. B.(3, 1)
  3. C.(−1, 3)
  4. D.(−3, 1)
Show the answer and explanation

Answer: B ((3, 1))

Explanation

x2 − y2 = (x − y)(x + y), so 2(x + y) = 8 and x + y = 4. With x − y = 2 this gives x = 3, y = 1.