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JAMB Mathematics 1988 Question 21

Question 21

Linear and Simultaneous Equations

Given that 3x − 5y − 3 = 0
2y − 6x + 5 = 0
the value of (x, y) is

  1. A.(−1/8, 19/24)
  2. B.(8, 24/19)
  3. C.(−8, 24/19)
  4. D.(19/24, −1/8)
Show the answer and explanation

Answer: D ((19/24, −1/8))

Explanation

Doubling the first equation gives 6x = 10y + 6. Put this into the second: 2y − 10y − 6 + 5 = 0, so y = −1/8. Then 3x = 5(−1/8) + 3 = 19/8, so x = 19/24.