imo class 12 determinants

Solve using matrices: 4x + 3y = 11, 3x + 4y = 10. The value of y is:

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Solve using matrices: 4x + 3y = 11, 3x + 4y = 10. The value of y is:

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Answer: A) 1

Explanation: det = 16−9=7. Inverse = (1/7)[4 −3; −3 4] × [11;10] = (1/7)[44−30; −33+40] = (1/7)[14;7] = [2;1]. So y=1.

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