SOLUTION: The number of positive integers k for which the equation kx − 12 = 3k has an integer solution for x is A.3 B. 4 C. 5 D. 6 E. 7
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Question 290233
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The number of positive integers k for which the equation kx − 12 = 3k has an integer solution for x is
A.3 B. 4 C. 5 D. 6 E. 7
Answer by
richwmiller(17219)
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k (x-3) = 12
k=12/(x-3)
6 integer solutions for k>0
1, 2,3 4, 6,12
All the positive factors of 12
x=15,9,7,6,5,4