Reference no: EM132255083

This is the question:

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 in 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

then the output is:

3 2

Use this brute force approach:

xSolution = -99

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
      assign xSolution with x.

Check if xSolution is still -99. If so, then output "No solution".

Ex: If no solution is found, output:

No solution

The answer can be in Python. I am seriously stuck. No clue. Here's what I have.

integer xSolution

integer x

integer y

xSolution = -99

x = Get next input

y = Get next input

while x >= -10 and x <= 10 

  while y >= -10 and y <= 10

   if 8 * x + 7 * y == 38 and 3 * x - 5 * y == -1

     xSolution = x

if xSolution != -99

  Put xSolution to output

  y = Get next input

elseif xSolution == -99

  Put "No solution" to output