Answer:
(-1,1)
Explanation:
1. Rearrange either equation to isolate one of the variables. Lets use 6x - y = -7 :
6x - y = -7
-y = -7 - 6x
y = 7+6x
2. Now use this definition of x in the second equation:
5x + y = -4
5x + (7+6x) = -4
11x = -11
x = -1
3. Now use x = -1 in either equation to find y:
6x - y = -7
6 (-1) - y = -7
-y = -1
y = 1
The solution is (-1,1)
See the attached graph.