Question

Solve 5x + 12y = 47 using Diophantine equations.

Answer 1

sometimes this works .....

x-intercept: 9.4
y-intercept : 3.9

so y can only be 1 , 2 , or 3
y=3, x = 2.2
y = 2 , x = 4.6
y = 1, x = 7

so x=7, y = 1 is the only positive integer solution