imo class 12 determinants

Solve using Cramer's rule: 2x + y = 5, x − 3y = −1. The value of x is:

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Solve using Cramer's rule: 2x + y = 5, x − 3y = −1. The value of x is:

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Answer: B) 2

Explanation: Δ = |2 1; 1 −3| = −6−1 = −7. Δₓ = |5 1; −1 −3| = −15+1 = −14. x = Δₓ/Δ = −14/−7 = 2.

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