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JAMB Mathematics 1989 Question 23

Question 23

Linear and Simultaneous Equations

Solve the pair of equation for x and y respectively
2x−1 − 3y−1 = 4
4x−1 + y−1 = 1

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

Answer: D (2, −1)

Explanation

Let u = 1/x, v = 1/y: 2u − 3v = 4 and 4u + v = 1. Then v = 1 − 4u, so 14u − 3 = 4 and u = ½, v = −1. So x = 2 and y = −1.