Answer: infinitely many solutions
Explanation:
Let's see what we have here. We have:
x + y - 2z = 2
3x + 3y - 6z = 6
-2x -2y + 4z = -4
Upon looking further we can see that all the equations are the same. When we multiply the first one by 3 we get the second equation. And when we multiply the first one by -2 we get the third equation. Therefore there are infinitely many solutions.
(Make sure to check this because I am still a beginner)