We want to solve the given system of equations by using the addition method.
The solution is x = 0.
So we start with the system of equations:
3x + 2y = 2
-3x + 5y = 5
We want to use the addition method, this means that we just add these two equations (left side with left side and right side with right side, in this case) we will get:
(3x + 2y) + (-3x + 5y) = 2 + 5
Now we simplify this to get:
7y = 7
Solving for y, we get:
y = 7/7 = 1
Now that we know the value of y, we can replace it on one of the equations and then find the value of x, let's use the first equation:
3x + 2*1 = 2
3*x = 2 - 2 = 0
x = 0
Then we can conclude that the value of x is 0.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
