contestada

Select the correct answer.
What is the solution to this system of equations?

x + 2y − z = 3
2x − y + 2z = 6
x − 3y + 3z = 4
A.
(1, 5, 0)
B.
(-6, 7, 14)
C.
no solutions
D.
(2, -3, 5)
E.
infinite solutions

Respuesta :

sqdancefan

Answer:

  C.  no solutions

Step-by-step explanation:

Subtract the first equation from the second and you get ...

  (2x -y +2z) -(x +2y -z) = (6) -(3)

  x -3y +3z = 3

This equation is of a plane parallel to the plane of the third equation. There are no points of intersection, hence no solution.

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