SOLUTION: Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of c1, c2, ... . If there is no solution, enter NO

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of c1, c2, ... . If there is no solution, enter NO       Log On


   

Question 631895: Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of c1, c2, ... . If there is no solution, enter NO SOLUTION.)

3x − 5y + 2z = 2
x − 3y + 2z = 2
5x − 11y + 6z = 6
(x,y,z) =?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

3x − 5y + 2z = 2

 x − 3y + 2z = 2

 5x − 11y + 6z = 6 

 D = %28matrix%283%2C3%2C3%2C-5%2C2%2C1%2C-3%2C2%2C5%2C-11%2C6%29%29 = 0

D = 0, Therefore, there is NO solution or infinite solutions

Infinite solutions as Dx, Dy, and Dz... ALL have values of zero, as well.