Solving a System of Equations by Substituting

How does the degree of the equations influence the number of possible solutions to a system?

The graph of the quadratic equation is a parabola, and the graph of the linear equation is a line. What do the solutions of the system represent graphically?

Why can you solve a system of equations by substituting one equation into another?

Dakota says that if a linear equation is written in terms of , then they can solve the system by substituting into the other equation for . Do you agree? Why or why not?

What values for would you find if you replaced the -values into the quadratic equation instead of the linear one?

Why do you think that in the examples shown, the -values were replaced into the linear equation, instead of the quadratic one?