7. If 5x + 12y = 80, find (x, y) integer pairs (+ve) satisfying this equation.
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2x + y = 12 --> x= (12 - y)/2 = 6 - y/2. Thus every even value of y will yield integer value of x too.
|y| <= 12 --> There are 13 even values of y: 12 - (-12) = 24/2 + 1 = 13
Answer: D
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