Saturday, November 19, 2016

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Exercise 3.3 - Algebra: Solve 2x2 Linear Equations

The program below is the solution to Liang's Introduction to Java (9th Edition) Chapter 3 Exercise 3.3.

Exercise 3.3 - Algebra: Solve 2x2 Linear Equations

/**
 *
 * @Author: Aghatise Osazuwa
 * Website: www.cscprogrammingtutorials.com
 */

public class Ex03_03 {
    public static void main(String[] args) {
        // declare variables
        double a, b, c, d, e, f, num1, num2, denom, x, y;
        
        // create Scanner to read user input
        Scanner input = new Scanner(System.in);

        System.out.print("This program solves 2x3 system of linear equations. "
                + "\n\nFor example in the following equation 9x + 4y = -6 "
                + "\n                                      3x - 5y = -21"
                + "\na, b, c, d, e, f = 9, 4, 3, -5, -6, -21 respectively. "
                + "\nEnter each number separated by pressing space or enter.");
        
        // prompt user to enter details
        System.out.print("\n\nEnter a, b, c, d, e, f: ");
        a = input.nextDouble();
        b = input.nextDouble();
        c = input.nextDouble();
        d = input.nextDouble();
        e = input.nextDouble();
        f = input.nextDouble();
        
        //calculate x and y
        num1 = ((e * d) - (b * f));
        num2 = ((a * f) - (e * c));
        denom = ((a * d) - (b * c));
        
        x = num1 / denom;
        y = num2 / denom;
        
        if (denom == 0) {
            System.out.println("\nThe equation has no solution.");
        } else {
            System.out.println("x is " + x + " and y is " + y);
        }
    }
}


Liang Introduction to Java exercise 3.3 solution
Program sample run

Click here to see other solutions to Introduction to Java Programming.

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