Question

Can someone help me with this??

Answer 1

Answer:

(-6,-2)

Step-by-step 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)