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JAMB Mathematics 1983 Question 24

Question 24

Linear and Simultaneous Equations

Solve the simultaneous equations for x
x2 + y − 8 = 0
y + 5x − 2 = 0

  1. A.−28, 7
  2. B.6, −28
  3. C.6, −1
  4. D.−1, 7
  5. E.3, 2.
Show the answer and explanation

Answer: C (6, −1)

Explanation

Subtracting the equations removes y: x² − 5x − 6 = 0, so (x − 6)(x + 1) = 0 and x = 6 or −1.