SOLUTION: Solve this system of equations 5x+5y-4z=6 15x+15y-12z=8 2x-5y+5z=4 A. there is one solution the solution is (, , ) type exact answers in simplified form B. there are i

Algebra ->  Equations -> SOLUTION: Solve this system of equations 5x+5y-4z=6 15x+15y-12z=8 2x-5y+5z=4 A. there is one solution the solution is (, , ) type exact answers in simplified form B. there are i      Log On


   

Question 630210: Solve this system of equations
5x+5y-4z=6
15x+15y-12z=8
2x-5y+5z=4
A. there is one solution the solution is (, , )
type exact answers in simplified form
B. there are infinitely many solutions the solutions are ? where z is any real number
C. There is no solution
Screenshot of question here http://oi46.tinypic.com/20toscy.jpg
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

5x+5y-4z=6

 15x+15y-12z=8

 2x-5y+5z=4 

checking the value of the Determinant:

D =  =%28matrix%283%2C3%2C5%2C5%2C-4%2C15%2C15%2C-12%2C2%2C-5%2C5%29%29

 = 0

C. There is no solution