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The system x + y - 3 = 0, (1 + K)x + (2 + K)y - 8 = 0, x - (1 + K)y + (2 + K) = 0 is consistent. A possible value of K is:
- 1
- 3/5
- -5/3
- 2
Correct answer: -5/3
Solution
Setting the determinant of the augmented coefficient matrix to zero and solving gives K = -5/3 (the listed valid value).
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