5 1 Systems Of Linear Equat Two Var
- 1. Section 5.1 Systems of Linear Equations in Two Variables
- 2. Systems of Linear Equations and Their Solutions
- 3. Two linear equations are called a system of linear equations. A solution to a system of linear equations in two variables is an ordered pair that satisfies both equations in the system. The solution of a system of linear equations can sometimes be found by graphing both of the equations in the same rectangular coordinate system. For a system with one solution, the coordinates of the point of intersection give the system’s solution.
- 5. Example
- 6. Eliminating a Variable Using the Substitution Method
- 8. Example
- 9. Example
- 10. Eliminating a Variable Using the Addition Method
- 12. Example
- 13. Example
- 14. Linear Systems Having No Solution or Infinitely Many Solutions
- 17. Study Tip
- 18. Example
- 19. Example
- 20. Functions of Business: Break-Even Analysis
- 22. When we graph a Cost equation and a Revenue equation we can see very easily where the Break-even point is. After this point the company will be making a gain and before this point they will be suffering a Loss. The extent of that gain or loss is seen in the graph.
- 23. Example
- 24. (a) (b) (c) (d)
- 25. (a) (b) (c) (d)
- 26. (a) (b) (c) (d)
- 27. (a) (b) (c) (d)