-y-10=6x
5x+y=-10
solve by elimination
Let's move some of those term around a bit, for clarity.
–y – 10 = 6x rearranges to –6x – y = 10
5x + y = –10 just leave it like it is 5x + y = –10
——————
add the two together –x = 0
so x = 0
substitute into an original equation 5(0) + y = –10
so y = –10
.