Mathematics

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

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.
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.