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JAMB Mathematics 2020 Question 11

Question 11

Linear and Simultaneous Equations

Solve the equation: m² + n² = 29, m + n = 7?

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

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

Explanation

Put m = 7 − n into m² + n² = 29: n² − 7n + 10 = 0, so n = 2 or 5 and m = 5 or 2.