[tex]\left \{ {{x-3y=-1} \atop {-6x+19y=6}} \right.[/tex]
[tex]\left \{ {{x=3y-1} \atop {-6(3y-1)+19y=6}} \right.[/tex]
[tex]-18y+6+19y=6 \\\\ y=6-6\\\\ y=0[/tex]
[tex]x-3y=-1\\\\ x-3\cdot 0=-1\\\ x=-1[/tex]
[tex]\left \{ {{x=-1} \atop {y=0}} \right.[/tex]
