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Solve the equations: 4x -y = 11; 5x + 2y = 4.

Mathematics
WAEC 1997

Solve the equations: 4x -y = 11; 5x + 2y = 4.

  • A. x = 6, y = 13
  • B. x = -2, y = -3
  • C. x = -2, y = 3
  • D. x = 2, y = -3
  • E. x = 2, y = 3.
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Correct Answer: Option D
Explanation

4x - y = 11....(1) x 2     8x - 2y = 22....(3)

5x + 12y = 4....(2) x 1     5x + 2y = 4....(4)

add eqn (3) and (4)

13x = 26

x = 2

4(2) - y = 11 \(\implies\) y = 8 - 11

y = -3.

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