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Question 250012
JEE Mathematics · Medium

Matrices and Determinants: Cramer's rule MCQ

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Cramer's ruleMediumQuestion 250012

Question

The system 2x + y = 5, x + 3y = 5 has the solution:
  1. A
    x = 2, y = 1
    Correct
  2. B
    x = 1, y = 3
  3. C
    x = 5, y = 0
  4. D
    x = 0, y = 5

Correct answer

x = 2, y = 1

Explanation

Using elimination: from equation 2: x = 5 − 3y. Substitute in eq 1: 2(5−3y) + y = 5 → 10 − 6y + y = 5 → 5y = 5 → y = 1. Then x = 5 − 3 = 2.

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