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JAMB Mathematics 1993 Question 14

Question 14

Linear and Simultaneous Equations

Solve the following simultaneous equations for x
x2 + y − 5 = 0
y − 7x + 3 = 0

  1. A.−2, 4
  2. B.2, 4
  3. C.−1, 8
  4. D.1, −8
Show the answer and explanation

Answer: D (1, −8)

Explanation

From the second equation y = 7x − 3. Substituting: x² + 7x − 8 = 0, i.e. (x + 8)(x − 1) = 0, so x = 1 or −8.