Answer:
(-3,2)
Explanation:
To solve this system, you first have to find what either x or y is.
In the top equation, x is by itself, so it is the easiest route to find.
x+3y=3
Subtract the 3y to get x by itself
x=3-3y
Now that we know that x=3-3-3y, plug it into the other equation for x.
3y-2(3-3y)=12
3y-6+6y=12
Solve to get y by itself
9y=18 Divide by 9
y=2
Finally, now that you have y, you can plug 2 back into x=3-3y for y.
x=3-3(2)
x=3-6
x=-3
Therefore, (-3,2)
If you want to double-check, just plug both x and y back into one of the equations
x+3y=3
-3+3(2)=3
-3+6+3
3=3