Bunuel wrote:
How many integer solutions exists for the equation 11x + 15y = -1 such that both x and y are less than 100?
A. 15
B. 16
C. 17
D. 18
E. 19
Project PS Butler
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Subscribe via RSS - RSS Are You Up For the Challenge: 700 Level QuestionsAsked: How many integer solutions exists for the equation 11x + 15y = -1 such that both x and y are less than 100?
(x,y) = (4,-3) satisfy the equation
x will change by 15 and y will change with opposite sign by 11 for each solution
(x,y) = {(-131,96),(-116,85),(-101,74),(-86,63),(-71,52),(-56,41),(-41,30),(-26,19),(-11,8),(4,-3),(19,-14),(34,-25),(49,-36),(64,-47),(79,-58),(94,-69)}
16 solutions are possible
IMO B
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Kinshook Chaturvedi
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