solve by the subtitution method.
2x+3y=8
-6x+y=36 I came up with (-2,-6) am I close
your point does not satisfy either equation, so
no, you are not even "close".
from the second: y = 6x+36
into the first:
2x + 3(6x+36) = 8
2x + 18x + 108 = 8
20x = -100
x = -5
then y = 6(-5) + 36
= 6