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

Determine The Solution To The System Of Equations Graphed Below And Explain Your Reasoning In Complete Sentences class=

Sagot :

xKelvin

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).

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