SOLUTION: Solve the system of equations. (If the system is dependent, choose any real number c for z.) 3x + y + 2z = 5 4x − 2y + z = −10 11x − 3y + 4z = −15

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve the system of equations. (If the system is dependent, choose any real number c for z.) 3x + y + 2z = 5 4x − 2y + z = −10 11x − 3y + 4z = −15       Log On


   

Question 631875: Solve the system of equations. (If the system is dependent, choose any real number c for z.)

3x + y + 2z = 5
4x − 2y + z = −10
11x − 3y + 4z = −15
(x,y,z) = ?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Re reply:  Yes!  Dependent System (choose any real number c for z)

3x + y + 2z = 5 

4x − 2y + z = −10 

11x − 3y + 4z = −15 

 D = %28matrix%283%2C3%2C3%2C1%2C2%2C4%2C-2%2C1%2C11%2C-3%2C4%29%29 = 0

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

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