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JAMB Mathematics 1982 Question 38

Question 38

Linear and Simultaneous Equations

The solution to the simultaneous equations
3x + 5y = 4
4x + 3y = 5 is

  1. A.(−13/11, 1/11)
  2. B.(13/11, 1/11)
  3. C.(13/11, −1/11)
  4. D.(11/13, 1/11)
  5. E.(13, 11).
Show the answer and explanation

Answer: B ((13/11, 1/11))

Explanation

Multiply the first by 4 and the second by 3 and subtract: 11y = 1, so y = 1/11. Then 3x = 4 − 5/11 = 39/11 and x = 13/11.