Answer:
(-6,-2)
Explanation:
Hello! Lets get started!
By looking at this problem, we see that both equations equal 2. This makes this problem much easier!
While there are a few methods you could solve this, I will use substitution. First, I need to find what x is in terms of y!
There are many different ways you could do this, here are two:
-x = 2-2y ==> x = -2+2y
-x + 2y = -3x + 8y ==> 2x = 6y ==> x = 3y
For this problem, I am going to use the second answer, x = 3y, as it is simpler!
We need to substitute 3y in for x in either equation; I am going to use the first equation, -x + 2y = 2.
-3y + 2y = 2
-y = 2
y = -2
Now, lets solve for x!
-x + 2(-2) = 2
-x - 4 = 2
-x = 6
x = -6
After plugging the answers into both equations, we see that they are in fact true!
Therefor, our final answer is (-6, -2)