The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use w, x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is​ consistent, give the solution. 1 0 0 6 2 0 1 1 −2 6 0 0 0 0 0
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 boxes within your choice.
A.
The system is consistent. The solution is ,,,.
​(Simplify your​ answers.)
B.
The system is consistent. There are infinitely many solutions. The solution can be written as ​{(w, x,y, z) ​| w=nothing​, x=nothing​, y=nothing​, z is any real​ number}.
​(Simplify your answers. Type expressions using z as the​ variable.)
C.
The system is consistent. There are infinitely many solutions. The solution can be written as ​{(w, x,y, z) | w=, x=​, y is any real​ number, z is any real​ number}.
​(Simplify your answers. Type expressions using y and z as the​ variables.)
D.
The system is inconsistent.