There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.
[tex]2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\[/tex]
Now we will solve for y using what we got for x.
[tex]2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0[/tex]
Solution:
A: [tex](0, 3)[/tex]