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spin [16.1K]
3 years ago
8

Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.

Mathematics
1 answer:
tester [92]3 years ago
6 0

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:

f(x)=|x+1|-4\text{ and } g(x)=-2x-3

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).

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