We would like to solve 2 by 2 linear equations using Cramer's rule.
Suppose we have the following 2 by 2 linear equation:
ax + by = e cx + dy = f
The answer of x and y:
x = (ed - bf) / (ad - bc) y = (af - ec) / (ad - bc)
Solve the following linear equation
4.6x + 50.2y = 42.42 2.1x + 4.67y = 5.9
public class Main { public static void main(String[] args) { cramer(4.6, 50.2, 2.1, 4.67, 42.42, 5.9); } private static void cramer(double a, double b, double c, double d, double e, double f) { 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); } }