passwella.
Menu

JAMB Mathematics 2012 Question 13

Question 13

Linear and Simultaneous Equations

Solve for x and y in the equations below.
x2 − y2 = 4
x + y = 2

  1. A.x = 0, y = −2
  2. B.x = 0, y = 2
  3. C.x = 2, y = 0
  4. D.x = −2, y = 0
Show the answer and explanation

Answer: C (x = 2, y = 0)

Explanation

x2 − y2 = (x + y)(x − y), so 2(x − y) = 4 and x − y = 2. With x + y = 2, x = 2 and y = 0.