Solving Linear and Quadratic Systems Using Substitution

This video tutorial teaches how to solve linear and quadratic systems using substitution. It explains the characteristics of linear and quadratic equations, their graphical representations, and the possible solutions when these systems intersect. The tutorial provides step-by-step examples of solving these systems by isolating variables and substituting them into other equations, leading to solutions that satisfy both equations simultaneously.

What is a system of equations?

How can you determine if an equation is quadratic?

What are the three possibilities for the solution of a linear system of equations?

Describe the characteristics of the graph of a quadratic equation.

What does it mean if the graphs of a linear equation and a quadratic equation intersect at two points?

Explain the process of substitution in solving systems of equations.

How do you check if the solutions found for a system of equations are correct?