To solve the linear Diophantine equation (1234567x – 7654321y = 1) using Mathematica, we can utilize the built-in function ExtendedGCD to find a particular solution and then determine the minimal integer solution. Here’s how: Step-by-Step Explanation Check Solvability: The equation (ax + by = c) has integer solutions if and only if (\gcd(a, b)) divides…