The augmented matrix of a system of equations has been transformed to an equivalent matrix in row-echelon form. using x, y, and z as variables, write the system of equations corresponding to the following matrix. if the system is consistent, solve it. left bracket start 3 by 3 matrix 1st row 1st column 1 2nd column 2 3rd column 2 2nd row 1st column 0 2nd column 1 3rd column negative 3 3rd row 1st column 0 2nd column 0 3rd column 1 endmatrix start 3 by 1 table 1st row 1st column 4 2nd row 1st column 9 3rd row 1st column negative 2 endtable right bracket1 2 20 1 −30 0 149−2which of the following system of equations corresponds to the given matrix? a. x plus 2 y plus 2 zx+2y+2zequals=44y minus 3 zy−3zequals=99zequals=minus−22b.2 x plus 2 y2x+2yequals=44negative 3 y−3yequals=99zequals=minus−22c.2 x plus 2 y plus 4 z2x+2y+4zequals=1negative 3 y plus 9 z−3y+9zequals=1minus−zequals=1d. xequals=442 x plus y2x+yequals=992 x minus 3 y plus z2x−3y+zequals=minus−22select the correct choice below and fill in any answer boxes in your choice. a.the solution set isstartset nothing endset{}.(type an ordered triple.)b. the solution is the empty set.