2. solve this system and list the method that you chose (graphing, substitution or elimination).
y = 2x – 12
y = -x + 3

-x + 3 = 2x - 12
3x = 15
x = 5

y = -5 +3
y = -2

Y = 2x - 12
Y = -x + 3

The method I am using is Substitution.

We need to solve y = 2x - 12 for y (right)?
Ok so, let's start by substitute 2x - 12 for y in y = -x + 3
y = -x + 3
2x - 12 = -x + 3
2x + x = 3 + 12
3x = 15
divide both sides by 3
3x/3 = 15/3
x = 5
Ok so now we have the value for x and it should be easier for us to find y.
Lets find y by substitute 5 which is the value for x in y = 2x - 12( every where we see x we will replace it by 5)
y = 2x - 12
y = 2(5)-12
y = 10 - 12 
y = -2

We did it

The final answers are : x = 5 and y = -2

I hope this help!