Algebra - solve 2 * 2 linear equations

The problem

You can use Cramer’s rule to solve the following 2 * 2 system of linear equation. For this instance write a program that solves the following equation and displays the value for x and y:

3.4x + 50.2y = 44.5
2.1x + .55y = 5.9

Breaking it down

public static void main(String[] args) {

    double a = 3.4;
    double b = 50.2;
    double c = 2.1;
    double d = 0.55;
    double e = 44.5;
    double f = 5.9;

    double x = (e * d - b * f) / (a * d - b * c);
    double y = (a * f - e * c) / (a * d - b * c);

    System.out.println("x = " + x + " y = " + y);

}

Output

x = 2.623901496861419 y = 0.7087397392563978