Determine whether the given system is solvable. Thank you!?

1. x + 2y + 3z = 1
-x + y = -2
2x -3x + z = 0

2. x + 2y + 3z = -1
4x + 5y + 6z = 0
7x + 8y + 9z = 1

Hint: When a coefficient matrix is singular (non-invertible,)
Gaussian elimination will determine solvability in a definite way.
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