4.28 LAB: Brute force equation solver (JAVA)

(In java)

Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10.

Ex: If the input is:

8 7 38 3 -5 -1

the output is:

x = 3, y = 2

Use this brute force approach:

For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish.

Ex: If no solution is found, output:

There is no solution

Assume the two input equations have no more than one solution.

Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy.

Code starts here:

import java.util.Scanner;

public class LabProgram {
public static void main(String[] args) {
/* Type your code here. */
}
}

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