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

answer: x

step-by-step explanation: