OAU Post-UTME Mathematics 2013 Question 4

Question 4

Coordinate Geometry

Find point of intersection of the lines 3x − 2y = 5, 2x + 5y = −7,

  1. A.x = 11/19, y = −31/19
  2. B.x = −11/19, y = 31/19
  3. C.x = −11/19, y = −31/19
  4. D.x = 11/19, y = 31/19
Show the answer and explanation

Answer: A (x = 11/19, y = −31/19)

Explanation

Multiply to eliminate y: 15x − 10y = 25 and 4x + 10y = −14 add to 19x = 11, x = 11/19. Then y = (3x − 5)/2 = −31/19.