Find the set of solutions for the linear system

$2x_1+5x_2-x_3-x_4=-16$

$-x_2+6x_3-12x_4=5$

$2x_3-x_4=10$

If your answer includes any arbitrary parameters name them $s1,s2,$ etc., as needed.

$(x_1,x_2,x_3,x_4)=(,)$