Answer:
(x, y) = (4, 0)
Explanation:
It is convenient to first put the equations into standard form by eliminating common factors. The first equation has a factor of 2 that can be removed; the second equation has a factor of 3 that can be removed. Then you have ...
Subtracting the second equation from the first eliminates the x variable. That gives you ...
(x +2y) -(x -y) = (4) -(4)
3y = 0 . . . . . . simplify
y = 0 . . . . . . . divide by 3
Substituting this value into either equation above, you get ...
x + 0 = 4
x = 4
The solution is (x, y) = (4, 0).