Solving a System of a Quadratic and Linear Equation by Substitution

This video tutorial teaches how to solve a system of a quadratic and linear equation using substitution. It begins with an introduction to systems of equations and the substitution method. The tutorial then provides a detailed explanation of substitution, followed by a step-by-step example of solving quadratic and linear equations. The quadratic formula is applied to find solutions, including imaginary ones, and the tutorial concludes with a summary of the process.

What is a system of equations and how many equations does it typically consist of?

Explain the process of substitution in solving equations.

What are the common mistakes to avoid when finding solutions to a system of equations?

Describe how to use the quadratic formula to solve a quadratic equation.

What does it mean if a system of equations has imaginary solutions?