SOLUTION: I keep getting fractions and decimals when my teacher said the answers were whole/real numbers. but the problem is: 2w-x+5y+z=-3 3w+2x+2y-6z=-32 w+3x+3y-z=-47 5w-2x-3y+3z=49

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: I keep getting fractions and decimals when my teacher said the answers were whole/real numbers. but the problem is: 2w-x+5y+z=-3 3w+2x+2y-6z=-32 w+3x+3y-z=-47 5w-2x-3y+3z=49       Log On


   

Question 645151: I keep getting fractions and decimals when my teacher said the answers were whole/real numbers. but the problem is:
2w-x+5y+z=-3
3w+2x+2y-6z=-32
w+3x+3y-z=-47
5w-2x-3y+3z=49
find w,x,y,and z.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2w-x+5y+z=-3
3w+2x+2y-6z=-32
w+3x+3y-z=-47
5w-2x-3y+3z=49

translates to the matrix



Now use row reduction to get

(Solution provided by the Linear Algebra Toolkit)

(Solution provided by the Linear Algebra Toolkit)


So the solutions are

w+=+2, x+=+-12, y+=+-4, z+=+1