Answer:
D. (-2, 6)
Step-by-step explanation:
First, isolate a variable in one of the equations (i.e y = or x =)
The first equation already has isolated x.
x = y - 8 or y - 8 = x
5x + y = -4
Substitute the isolated variable into the second equation.
5(y-8) + y = -4
There is now only one variable, y, in the equation. Now you can solve for y.
First, use the distributive property to get the equation
5y - 40 + y = -4
Then, add 40 to both sides.
5y + y = 36
Add like-terms.
6y = 36
Divide.
36 / 6 = 6
So, y = 6.
Now that we have one coordinate, y = 6, you can substitute for y in the first equation.
x = 6 - 8
Subtract.
x = -2
Your coordinates are now x = -2 and y = 6, or (-2, 6).
