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?

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Explain the process of substitution in solving equations.

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

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

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

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