please show me how to do this I am very lost I keep getting a wierd answer like 16/9 something like that please help me

Solve the system by addition. 4x+6y = 9,8x-3y = -7

4x +6y = 9

8x -3y = -7
Double both sides of the last equation:
16x - 6y = -14
Now add the first and third equations above and watch the y terms cancel.
20x = -5, so
x = -1/4
Now use that x in the first equation to get y.
-1 +6y = 9
6y = 10
y = 5/3