Graph both functions to find the solution(s) to the system.

{f(x)=2x+1
g(x)=x2+2x−8

Use the line tool to graph the line.

Use the parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.

Here we want to solve the system of equations graphically. We will see that there are two solutions, one at (-3, -5) and the other is at (3, 7).

So we have the system of equations:

Remember that the solutions of a system of equations are the intersections between the graphs of the two functions, so we just need to graph both functions in the same coordinate axis and see where these graphs intersect.

The graph can be seen below, there we can see that there are two intersections, meaning that there are two solutions.

One is at (-3, -5)

The other is at (3, 7)

If you want to learn more, you can read:

link

See the attached picture:

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step-by-step explanation: