The solutions of the system of equations are (-1, 0), and (8, 9)
How to solve the system of equations graphically?
To solve a system of equations graphically, we need to graph both equations in the same coordinate axis, and then find the points where the graphs do intercept.
In the image at the end you can see the graph of the system:
f(x)=x+1
g(x)=x²−6x−7
there we can see that the intercepts are at (-1, 0), (8, 9). These are the solutions.