Create a system of equations that includes one linear equation and one quadratic equation. part 1. show all work to solving your system of equations algebraically. part 2. graph your system of equations, and show the solution graphically to verify your solution.

When asked to create a system like this, the easiest way to do so is by setting up real basic equations. For the basis of this, let's use the following:

f(x) = x^2 (Quadratic)

f(x) = x (Linear)

Making them basic like this will allow us to solve rather easily. To solve a system where both are equal to f(x), you may set equal to each other to solve.

x = x^2 >subtract x from both sides

x^2 - x = 0 ---> factor out an x.

x(x - 1) = 0

Now set each part equal to 0 to solve.

x = 0

x - 1 = 0

x = 1

Now you know that the graph has solution sets at x = 0 and x = 1. If we put them back into either equation, you'll get out the ordered pairs of (0, 0) and (1, 1). When graphing these two, it'll be easy to see those two points.

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step-by-step explanation: