Find the set of solutions for the linear system

$$\begin{array}{rcrcrcr} x_1 & + & 2 x_{2} & + & 6 x_{3} & = & -13 \\ & - & x_{2} & + & 2 x_{3} & = & -3 \\ & & & - & 5 x_{3} & = & 5\end{array}$$ Use s1, s2, etc. for the free variables if necessary.

$(x_1, x_2, x_3) = \bigg($ , , $\bigg)$