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.

for a system of equations, we'll use something fairly simple:

y = 2x (linear)

y = x^2 (quadratic)

now to solve, we can set them equal to each other since they are both equal to y.

x^2 = 2x

now to solve for the appropriate values of x, set equal to zero and factor.

x^2 = 2x > subtract 2x from both sides

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

x(x - 2) = 0

now to get the values of x, set each factored part equal to 0 on their own.

x = 0

x - 2 = 0

x = 2

and there are your two answers.