[tex]\left\{\begin{array}{ccc}y-x=6\\y+x=-10\end{array}\right\ \ \ |add\ both\ sides\ of\ the\ equations\\\\2y=-4\ \ \ \ |:2\\y=-2\\\\substite\ the\ value\ of\ y\ to\ second\ equation\\\\-2+x=-10\ \ \ |+2\\x=-8[/tex]
[tex]Answer:\ x=-8\ and\ y=-2[/tex]