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Determine the number of values of k for which the system (k+1)x + 8y = 4k and kx + (k+3)y = 3k - 1 has no solution.
- infinite
- 1
- 2
- 3
Correct answer: 1
Solution
The determinant vanishes at k=1 and k=3; checking consistency, k=3 gives coincident lines (infinite solutions) and k=1 gives no solution, so exactly one value.
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