Answer:
The solution to the system of equations is (0, -3) because that is where the two graphs intersect. It is the only solution since the equations intersect at that point only.
Step-by-step explanation:
We have the two equations:
[tex]f(x)=|x+1|-4\text{ and } g(x)=-2x-3[/tex]
Remember that graphically, the solution(s) of a system of equations is always where the graphs intersect.
We can see that the two graphs intersect at (0, -3).
So, g(0) = -3 and f(0) = -3 also.
And that is the only point of intersection. So the only solution to our system here is (0, -3).
