Question 1026311
We can solve this system by using the substitution method.

x=-2y
x+6y=8

We know that x = -2y, so we can plug in -2y into the second equation instead of X. 

-2y+6y=8

Now solve for y.

-2y+6y=8
4y=8
y=2

Now that we know what y is, we can plug in 2 into X in any of the two equations. We can plug Y into the first equation as 2.

x = -2(2)
x = -4

ANSWER: x = -4, y = 2. (-4,2)