The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use \(x, y\); or \(x, y, z;\) or \(x_{1},x_{2},x_{3},x_{4} \) as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.

\([1,0;1,0;5,-1]\)