You have the following system of equations:
y = 2/5 x + 5
2x + y = -7
in order to solve the previous system by graphing, solve the second equation for y:
2x + y = -7
y = -2x - 7
The graphs are shown below:
the solution to the system is the point at which the lines cross each other.
You can notice that such a point is (-5,3).
Hence, the solution to the system is
(-5,3)