#### Answer

Solution: (2, -9)

#### Work Step by Step

Our two equations are:
1. 8x+2y=-2
2. y=-5x+1
First in order to prepare these two equations for elimination lets add 5x to both sides of Equation 2. This gives us the two equations below:
1. 8x+2y=-2
2. 5x+y=1
Then multiply the second equation by 2.
1. 8x+2y=-2
2. 10x+2y=2
Next subtract the second equation from the first equation. You get:
-2x=-4 (Divide by -2 on both sides)
x=2
Now plug this value of x into the first equation to find the value of y.
8(2)+2y=-2
16+2y=-2 (Subtract 16 from both sides)
2y=-18 (Divide by 2 to both sides)
y=-9
So our solution: (2, -9)