সমাধান কর :

  1. \((2x + 3)(y - 1) = 14,\;\; (x - 3)(y - 2) = -1\)
  2. \((x - 2)(y - 1) = 3,\;\; (x + 2)(2y - 5) = 15\)
  3. \(x^2 = 7x + 6y,\;\; y^2 = 7y + 6x\)
  4. \(x^2 = 3x + 2y,\;\; y^2 = 3y + 2x\)
  5. \(x + \dfrac{4}{y} = 1,\;\; y + \dfrac{4}{x} = 25\)
  6. \(y + 3 = \dfrac{4}{x},\;\; x - 4 = \dfrac{5}{3y}\)
  7. \(xy - x^2 = 1,\;\; y^2 - xy = 2\)
  8. \(x^2 - xy = 14,\;\; y^2 + xy = 60\)
  9. \(x^2 + y^2 = 25,\;\; xy = 12\)
  10. \(\dfrac{x + y}{x - y} + \dfrac{x - y}{x + y} = \dfrac{10}{3},\;\; x^2 - y^2 = 3\)
  11. \(x^2 + xy + y^2 = 3,\;\; x^2 - xy + y^2 = 7\)
  12. \(2x^2 + 3xy + y^2 = 20,\;\; 5x^2 + 4y^2 = 41\)