I have an assignment on zybooks for my c++ coding course and whenever I run my code it outputs every outcome no matter if it’s right or wrong. My Code:

#include <iostream> using namespace std; int main() { int x1; int y1; int ans1; int x2; int y2; int ans2; int x; int y; cin >> x1 >> y1 >> ans1; cin >> x2 >> y2 >> ans2; for (x = -10; x <= 10; x++) { for (y = -10; y <= 10; y++) { if ((ans1 = (x1 * x) + (y1 * y)) = (ans2 = (x2*x) + (y2*y))) { cout << "x = " << x << ", " << "y = " << y << endl; } } } return 0; }

The instructions are: Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x – 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10.

Ex: If the input is:

8 7 38 3 -5 -1

the output is:

x = 3, y = 2

Use this brute force approach:

For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish

Ex: If no solution is found, output:

There is no solution

Assume the two input equations have no more than one solution.

Then when I run the program my output is:

x = -10, y = -10 x = -10, y = -9 x = -10, y = -8 ...

going all the way to x = 10 and y = 10

## Answer

Here, I had solved it as simple as I can and commented some of the logics.

#include <iostream> using namespace std; int main() { int x1; int y1; int ans1; int x2; int y2; int ans2; int x; int y; cin >> x1 >> y1 >> ans1; cin >> x2 >> y2 >> ans2; int flag = 0; for (x = -10; x <= 10; x++) { for (y = -10; y <= 10; y++) { if (ans1 == (x1 * x) + (y1 * y) && ans2 == (x2*x) + (y2*y) ) { /*if we got the root of 1st equation then using bitwise and we have to compare that with another equation*/ cout << "x = " << x << ", " << "y = " << y << endl; flag=1; /* If we found the ans then we will raise the flag to 1, So after the end of loop it'll not print the below statement*/ break; } } } if(flag==0){ cout<<"There is no solutionn"; } return 0; }