imo class 12 matrices

Find the values of x and y respectively if [[2x + y, 4], [5, x − y]] = [[10, 4], [5, 2]].

VAVidaara Admin Asked 6d ago 0 views 0 answers

Find the values of x and y respectively if [[2x + y, 4], [5, x − y]] = [[10, 4], [5, 2]].

  • A. 4, 2
  • B. 2, 4
  • C. 3, 4
  • D. 4, 3

Answer: A) 4, 2

Explanation: Equating corresponding elements: 2x + y = 10 and x − y = 2. Adding them gives 3x = 12 → x = 4. Substituting x = 4 gives 4 − y = 2 → y = 2.

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