Systems of nonlinear equation lesson.pptx

This lesson is about the systems of nonlinear equation in precalculus subject.

1. Systems of nonlinear equation

2. review Linear Equation i s an equation between two variables that gives a straight line when plotted on a graph. What methods have we used to solve linear systems of equations? Graphing Substitution Elimination

3. Steps for using substitution

4. example

5. What is nonlinear system of equation? is a set of  equations  where one or more terms have a variable of degree two or higher and/or there is a product of variables in one of the  equations .

6. Determine if it is nonlinear or not 1 NONLINEAR NONLINEAR

7. Determine if it is nonlinear or not NONLINEAR LINEAR 3.   4.  

8. Determine if it is nonlinear or not NONLINEAR 5.  

9. EXAMPLE: 1. 2.

10. solve non linear equation by elimination EXAMPLE:  

11. Solutions of nonlinear equations using graph

12. Solve the system by graphing: Example: 1.  

13.     Graph of the equation separately

14. Graph of a system

15. A solution to the  system  is any point that is a solution for  both  equations. In other words, a solution point for this system is any point that is on  both  graphs. In other words: "SOLUTIONS" FOR SYSTEMS ARE INTERSECTIONS OF THE LINES

16. Graph of a system Then, graphically, the solutions for this system are the red-highlighted points at right. That is, the solutions to this system are the points  (–2, 4) and (2, 4) . So when you're trying to solve a system of equations, you're trying to find the coordinates of the intersection points.