#include <iostream>
#include <stdexcept>
using namespace std;

int main(){
    int Deter, DeterX, DeterY, A1, A2, B1, B2, C1, C2;
    int B1Sign, B2Sign, DeterX_Dem, DeterY_Dem;
    bool Det_Ind=false;
    system("title Cramer's Rule");
    cout<<"Program Written By Shawn Biddle To Solve a Linear Equation with Cramer's Rule"<< endl;
    cout<<"Please Enter A1: ";
    cin>>A1;
    cout<<"\nPlease Enter B1: ";
    cin>>B1;
    cout<<"\nPlease Enter C1: ";
    cin>>C1;
    cout<<"\nPlease enter A2: ";
    cin>>A2;
    cout<<"\nPlease enter B2: ";
    cin>>B2;
    cout<<"\nPlease Enter C2: ";
    cin>>C2;
    cout<<"The Equation is {\n";
    B1Sign=B1*(-1);
    B2Sign=B2*(-1);
    if (B1>0){
       cout<<"\t "<< A1 <<"x+"<<B1<<"y = "<< C1<< endl;}
    else if (B1<0){
       cout<<"\t "<< A1 <<"x-"<<B1Sign<<"y = "<< C1<< endl;}
    if (B2>0){
       cout<<"\t "<< A2 <<"x+"<<B2<<"y = "<< C2<< "\n\t\t} " <<endl;}
    else if (B2<0){
       cout<<"\t "<< A2 <<"x-"<<B2Sign<<"y = "<< C2<< "\n\t\t} " << endl;}
     
    Deter=(A1*B2)-(A2*B1);
    DeterX=(C1*B2)-(C2*B1);
    DeterY=(A1*C2)-(A2*C1);
    if (Deter==0 && DeterX==0 && DeterY==0) {    // example 1, 2, 3 | 5, 10, 15
                 cout<<"System is Dependant (Infinite Solutions)"<< endl;
                 Det_Ind = true;
                 }
    else if (Deter==0 && (DeterX!=0 || DeterY!=0)){
                 cout<<"System is Inconsistent (System Set is \xE9 )"<< endl;
                 Det_Ind = true;
                 }
    
    cout<<"D    = "<< Deter << endl; 
    cout<<"D(x) = "<< DeterX << endl;
    cout<<"D(y) = "<< DeterY << endl;

    if (Det_Ind==true){
                   cout<<"Please press Enter to continue. . .";
                   cin.get();
                   cin.get();
                   return 0;
                   }

    else if (Det_Ind==false){               
            DeterX_Dem=(DeterX/Deter);
            DeterY_Dem=(DeterY/Deter);
            cout<<"\nX = "<< DeterX<<"/"<< Deter <<" = "<< DeterX_Dem << endl;
            cout<<"Y = "<< DeterY<<"/"<< Deter <<" = "<< DeterY_Dem << endl;
            cout<<"Solution Set is {("<< DeterX_Dem <<","<< DeterY_Dem <<")}"<< endl;
            }           
  
    cout<<"\n\nPlease press Enter to continue. . .";
    cin.get();
    cin.get();
    return 0;
}