how should i solve this by gaussian elimination method

Question

The system is: -2y+3z=1; 3x+6y-3z=-2; 6x+6y+3z=5;

Answer 1

The system of equations are

Write the equations into matrix form .

 is coefficient matrix,  is variable matrix and  is constant matrix.

Solve the equations in Gaussian elimination method.

The augmented matrix is .

  are represents first row and second row.

Eliminate second row and first column.

The system is inconsistent.