Write a program to find all integer solutions to the equation 4x + 3y -9z = 5 for values of x, y, and z between 0 to 100.

Following are the code to the given question:

#include <iostream>//header file

using namespace std;

int main()//main method

{

  int c= 0;//defining integer variable to count number of solutions

  int x,y,z;//defining integer variable which is used in the loop

  for (x = 0; x <= 100; x++)//defining for loop to x value

     for (y = 0; y <= 100; y++)//defining for loop to y value

        for (z = 0; z <= 100; z++)//defining for loop to z value

           if (4 * x + 3 * y - 9 * z == 5)//use if to check given condition

           {

              c++;//increment count value

              cout << "(" << x << "," << y << "," << z << ")";//print solutions  

              cout << (c % 11? " " : "\n");//use for add file solution in a row

           }

  cout << "\n\nThere are " << c << " solution(s)\n";//print solution couts

  return 0;

}

Output:

Please find the attached file.

Explanation:

In the above-given code four integer variable "x,y,z, and c" is declared, in which "x,y, and z" is used in the for loop with the if conditional statement that checks the given condition and prints the solution and the "c" variable is used to counts the number of solution, and at the last, it uses the print method to print its values.