Given the matrix, we could say that the system of equations is the next one:
[tex]\begin{gathered} x+5y-3z=3 \\ 0+y+3z=-3 \\ 0+0+0=5 \end{gathered}[/tex]
As you can notice, there is no possibility for the third equation to be true since 0 is not equal to 5, so we can conclude that the system has no solution.
Answer: the system has no solution.
