Answer: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