Home » Solve the equation 2x – 3y = 22; 3x + 2y = 7

Solve the equation 2x – 3y = 22; 3x + 2y = 7

Solve the equation 2x – 3y = 22; 3x + 2y = 7
  • A.
    -5
  • B.
    -4
  • C.
    4
  • D.
    5
Correct Answer: Option B
Explanation

2x – 3y = 22 — eqn I
3x + 2y = 7 — eqn II
multiply eqn I by 2
4x – 6y = 44 — eqn III
multiply eqn II by 3
9x + 6y = 21 — eqn IV
Adding eqn III and IV
=> 13x = 65 => x = 5
Substituting 5 for x in eqn II
3×5 + 2y = 7 => 2y = -8
y = -4

Related:  The height of a pyramid on square base is 15cm. if the volume is 80cm^3, find...