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 (x,y,z)=?

Algebra ->  Systems-of-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 (x,y,z)=?      Log On


   



Question 631905: 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.