ANSWER
(6,-5)
Step-by-step explanation
The given system has equations:
2x + y =7...(1)
x- 2y = 16...(2)
We multiply equation (1) by 2 to get,
4x+2y=14...(3)
We add equations (2) and (3) to obtain,
4x+x+2y-2y=14+16
This implies that,
5x= 30
Divide both sides by 5,
x=6
We substitute x=6 into equation (1) to get,
2(6) +y=7
12+y=7
y=7-12
y=-5
The solution is (6,-5)