如何用Java解决线性方程？

Question

我的计算器上有一个程序，它接受2个方程（A系统）的所有值并求解（X，Y）。我正在尝试制作一个程序，但我的程序计算错误。有人可以看看吗？

这是我的代码：

import java.util.Scanner;

public class SystemSolver {
    public static void main(String[] args) {

        Scanner sc = new Scanner(System.in);
        double a1 = 0, a2 = 0, b1 = 0, b2 = 0, c1 = 0, c2 = 0;


        System.out.println("Enter 'a1': ");
        a1 = sc.nextDouble();

        System.out.println("Enter 'b1': ");
        b1 = sc.nextDouble();

        System.out.println("Enter 'c1': ");
        c1 = sc.nextDouble();

        System.out.println("Enter 'a2': ");
        a2 = sc.nextDouble();

        System.out.println("Enter 'b2': ");
        b2 = sc.nextDouble();

        System.out.println("Enter 'c2': ");
        c2 = sc.nextDouble();

        System.out.println("Your Systems Are (1) " + a1 + " + " + b1 + " = " + c1);
        System.out.println("                 (2) " + a2 + " + " + b2 + " = " + c2);


        double x = ((b1*c2)-(c1*b2))/((b1*a2)-(a1*b2));
        double y = ((c1*a2)-(c2*a1))/((b1*a2)-(a1*b2));


        System.out.print("\n The Values Of 'X' And 'Y' Are: "); 
        System.out.print( "(" + x + " , " + y + ")");


    }
}