The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use​ x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is​ consistent, give the solution. 1 0 0 −4 0 1 0 9 0 0 0 −3
What equation does the first row​ represent?
nothing ​(Type an​ equation.)
What equation does the second row​ represent?
nothing ​(Type an​ equation.)
What equation does the third row​ represent?
nothing ​(Type an​ equation.)
Determine whether the system is consistent or inconsistent. If it is​ consistent, give the solution. Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) within your choice.
A.
The system is consistent. The solution is ,,.
​(Simplify your​ answers.)
B.
There are infinitely many solutions. The solution can be written as (x, y,z) | x=, y=, z is any real number.
​(Simplify your answers. Type expressions using z as the​ variable.)
C.
There are infinitely many solutions. The solution can be written as (x, y,z) | x=, y is any real number, z is any real number.
​(Simplify your answer. Type an expression using y and z as the​ variables.)
D.
The system is inconsistent.