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Find the sum of all positive integer values of a for which every solution of the system x + a y = 3 and a x + 4 y = 6 satisfies x > 1 and y > 0.
- 1
- 2
- 3
- 4
Correct answer: 1
Solution
Only a = 1 gives a unique solution with x > 1 and y > 0; summing valid values gives 1.
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