Answer:
(1, -3)
Explanation:
To find the solution of the system of linear equations, first you need to set them equal to each other and solve.
y = x-4
y = -2x-1
x-4 = -2x-1
x + 2x = -1 + 4
3x = 3
x = 1
To find the corresponding y-value, plug the calculated x into one of the equations (it doesn't matter which one you choose because they will give the same result).
y = x-4
y = 1 - 4
y = -3
If the graph hadn't been provided, you could check this problem by plotting both equations and determining their intersection. Since the graph was provided you can just compare your results to the shown intersection.