Question

7. If 5x + 12y = 80, find (x, y) integer pairs (+ve) satisfying this equation.​

Answer 1

Answer:

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