Using Cramer's rule, the value of z in equations: x+y+z=6, x−y+z=2, 2x+y−z=1 is: A. 2 B. 1 C. 3 D. 4 Answer: C) 3 Explanation: Δ = |1 1 1; 1 −1 1; 2 1 −1| = 1(1−1) −1(−1−2) +1(1+2) = 0+3+3=6. Δ_z = |1 1 6; 1 −1 2; 2 1 1| = 1(−1−2) −1(1−4) +6(1+2) = −3+3+18=18. z=18/6=3.

imo class 12 determinants

Using Cramer's rule, the value of z in equations: x+y+z=6, x−y+z=2, 2x+y−z=1 is:

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Using Cramer's rule, the value of z in equations: x+y+z=6, x−y+z=2, 2x+y−z=1 is:

A. 2
B. 1
C. 3
D. 4

Answer: C) 3

Explanation: Δ = |1 1 1; 1 −1 1; 2 1 −1| = 1(1−1) −1(−1−2) +1(1+2) = 0+3+3=6. Δ_z = |1 1 6; 1 −1 2; 2 1 1| = 1(−1−2) −1(1−4) +6(1+2) = −3+3+18=18. z=18/6=3.

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