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WAEC Mathematics 2007 Question 12

Question 12

Linear and Simultaneous Equations

Solve the simultaneous equations: x + y = 2 and 3x − 2y = 1.

  1. A.x = 2 and y = 1
  2. B.x = 1 and y = 1
  3. C.x = 1 and y = 2
  4. D.x = −1 and y = 1
Show the answer and explanation

Answer: B (x = 1 and y = 1)

Explanation

Double the first equation (2x + 2y = 4) and add the second: 5x = 5, so x = 1 and y = 1.