imo class 12 determinants

Solve for x and y: 2x + 3y = 7 and 3x + y = 7 using Cramer's rule.

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Solve for x and y: 2x + 3y = 7 and 3x + y = 7 using Cramer's rule.

  • A. x = 2, y = 1
  • B. x = 1, y = 2
  • C. x = 3, y = -1
  • D. x = -1, y = 3

Answer: A) x = 2, y = 1

Explanation: D = |2 3; 3 1| = -7. Dx = |7 3; 7 1| = -14. Dy = |2 7; 3 7| = -7. x = Dx/D = 2, y = Dy/D = 1.

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