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Systems of linear & quadratic equationsHow to solve systems of a line & parabola
Before learning how to solve systems of linear and quadratic equations. You should have a solid grasp of linear equations, parabolas, how to solve quadratic equations, and how to solve sytems of linear equations
A system of a linear equation and a quadratic equation can have one real solution, two real solutions or no real solutions.
Quick review: Remember that the solution of a system of linear equations is the point(s) where two lines intersect. Below is a picture of the solution of a linear system.
The same concept applies to the solution of a system that is made up of a linear equation and a quadratic equation (ie a line and a parabola). The solution is the point(s) where the line meets the parabola. There can be one, two or no real solutions to this kind of system as the picture below illustrate.
Click for a quick review of solving systems of lienar equations by substittion See this Demonstration all by itself(opens up new window, makign it easier to see entirity of demonstration )
See this Demonstration all by itself(opens up new window, makign it easier to see entirity of demonstration )
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The two lines in the graph on the left intersect at the point (1,3) which is the 
