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 > 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 forc can be handy. 1 import java.util.Scanner; 2 3 public class LabProgram { Min 6700 4 public static void main(String[] args) { /* Type your code here. */ } 7} 8 5

Operations Research : Applications and Algorithms
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Java - Brute Force Equation Solver

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.
1 import java.util.Scanner;
2
3 public class LabProgram {
Min 6780
4
5
public static void main(String[] args) {
/* Type your code here.
}
7}
Transcribed Image Text: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. 1 import java.util.Scanner; 2 3 public class LabProgram { Min 6780 4 5 public static void main(String[] args) { /* Type your code here. } 7}
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