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WAEC Mathematics 2009 Question 8

Question 8

Linear and Simultaneous Equations

Solve the following simultaneous equations: 2x + 3y = 7, x + 5y = 0.

  1. A.x = 5, y = −1
  2. B.x = 1/5, y = −1
  3. C.x = −1/5, y = 1
  4. D.x = −5, y = 1
Show the answer and explanation

Answer: A (x = 5, y = −1)

Explanation

From the second equation x = −5y. Then −10y + 3y = 7, so y = −1 and x = 5.