passwella.
Menu

JAMB Mathematics 2001 Question 10

Question 10

Linear and Simultaneous Equations

Solve the equations; m2 + n2 = 29, m + n = 7

  1. A.(5,2) and (5,3)
  2. B.(5,3) and (3,5)
  3. C.(2,3) and (3,5)
  4. D.(2,5) and (5,2)
Show the answer and explanation

Answer: D ((2,5) and (5,2))

Explanation

Substitute m = 7 − n: (7 − n)2 + n2 = 29 gives n2 − 7n + 10 = 0, so n = 2 or 5. The pairs are (5, 2) and (2, 5).