Question

Use Java

(Algebra: solve 2 x 2 linear equations)

A linear equation can be solved using Cramer’s rule given in Programming Exercise 1.13.

Write a program that prompts the user to enter a, b, c, d, e, and f and displays the result.

If ad - bc is 0, report The equation has no solution.

Sample Run 1

Enter a, b, c, d, e, f: 9.0 4.0 3.0 -5.0 -6.0 -21.0
x is -2.0 and y is 3.0

Sample Run 2

Enter a, b, c, d, e, f: 1.0 2.0 2.0 4.0 4.0 5.0
The equation has no solution

Sample Run 3

Enter a, b, c, d, e, f: 1.0 2.0 2.0 4.0 4.0 5.0 6.0

x is -4.0 and y is 4.5


Class Name: Exercise03_03

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Answer 1

Program:

import java.util.*;       // import packages

import java.io.*;

import java.math.*;      
public class Exercise03_03   // class name
{
   static double a,b,c,d,e,f,x,y,m;   // variable declaration
   public static void main(String[] args)    // main function
   {
      
       Scanner sc=new Scanner(System.in);   // object for scanner class
       System.out.println("\nEnter a,b,c,d,e,f values");
       a=sc.nextDouble();       // reading input values
       b=sc.nextDouble();       // reading input values
       c=sc.nextDouble();       // reading input values
       d=sc.nextDouble();       // reading input values
       e=sc.nextDouble();       // reading input values
       f=sc.nextDouble();       // reading input values
       m=(a*e-b*d);   // calculate mod
       if(m==0)   // check mod value is Zero
       System.out.println("No Solution");   // if zero No solution
       else       // otherwise
       {
           x=(c*e-f*b)/m;   // calculating x
           y=(a*f-c*d)/m;   // calculating Y          
           System.out.println("x is"+Math.round(x));   // DISPLAY X
           System.out.println("y is"+Math.round(y));   // DISPLAY Y
       }
   }
}

OUTPUT:

Program Screen Shot:

Note:

Program Name: Exercise03_03.java

The above program is done by using jdk1.7 compiler