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

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

Solve the equation; 3x – 2y = 7, x + 2y = -3
  • A.
    x = 1, y = -2
  • B.
    x = 1, y = 3
  • C.
    x = -2, y = -1
  • D.
    x = 4, y = -3
Correct Answer: Option A
Explanation

3x – 2y = 7; Solve by elimination method
x + 2y = -3
3x – 2y = 7…..(i)
-3x + 6y = -9…..(ii)
-8y = 16
y = (frac{16}{-8} = -2)
Put y = -2 into equation (i); 3x – 2y = 7
3x – 2(-2) = 7
3x + 4 = 7
3x = 7 – 4
3x = 3
x = (frac{3}{3}) = 1