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Question 4 : The number of pairs of integers(x,y) satisfying x ≥ y ≥ -20 and 2x + 5y = 99 is

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Video Explanation

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Explanatory Answer

x = 2 and y = 19 (Not possible), Given the condition x ≥ y ≥ - 20
x should increase/decrease in the coefficient of y and same for y
x = 7 and y = 17 (Not possible)
x = 12 and y = 15 (Not possible)
x = 17 and y = 13 (Possible)
. y = 11
. y = 9
. .
. .
. .
. y = -19 (Can’t go any further)
By counting totally 17 values are there

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The question is "The number of pairs of integers(x,y) satisfying x ≥ y ≥ -20 and 2x + 5y = 99 is"

Hence, the answer is, " 17"