Using matrix method, solve 3x − 2y = 4 and 2x + y = 5. The value of y is: A. 1 B. 2 C. 3 D. 4 Answer: A) 1 Explanation: Matrix form: [3 −2; 2 1][x; y] = [4; 5]. det = 3+4=7. Inverse: (1/7)[1 2; −2 3]. Multiply by [4;5]: x=(4+10)/7=2, y=(−8+15)/7=1.

imo class 12 determinants

Using matrix method, solve 3x − 2y = 4 and 2x + y = 5. The value of y is:

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Using matrix method, solve 3x − 2y = 4 and 2x + y = 5. The value of y is:

Answer: A) 1

Explanation: Matrix form: [3 −2; 2 1][x; y] = [4; 5]. det = 3+4=7. Inverse: (1/7)[1 2; −2 3]. Multiply by [4;5]: x=(4+10)/7=2, y=(−8+15)/7=1.

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