What is the solution to this system of equations?

x + 2y − z = 3
2x − y + 2z = 6
x − 3y + 3z = 4

The system of equations has no solutions.

Step-by-step explanation:

Identify the equation as:

  [Equation 1]

   [Equation 2]

   [Equation 3]

Multiply  [Equation 1]  by -2 and add this to [Equation 2] :

 Find another equation of two variables: Multiply  [Equation 3]  by -2 and add this to [Equation 2]:

Then you get this new system of equations. When you add them, you get:

Since the obtained is not possible, the system of equations has no solutions.