Chapter 3: Section 1 Notes
By the end of the section, you should be able to:
- Solve a linear system of equations using a table and/or graph.
- Classify a system as Consistent, Inconsistent, Independent, and/or Dependent.
Definitions:
- System of Equations: a set of two or more equations.
- Linear System: a system that only consists of linear equations.
- Solution of a System: a set of values for the variables that makes all the equations true.
- Can be written as an ordered pair (x, y) for two variable equations/Linear Systems.
- Inconsistent System: a system that has no solution.
- Consistent System: a system that has at least one solution.
- Independent System: a system that has one solution.
- Dependent System: a system that has infinitely many solutions.
Solution of a System of Equations
🎥 Intro
🎥 Intro
Classifying Systems of Equations
Things to remember:
- When finding solutions using a graph:
- Graph the Equations
- Look for a point that looks like an intersection.
- Plug the point into each equation and verify that they are both true.
- When finding solutions using a table:
- Create a table for both equations
- Look for sets of variables that match between equations.
- Look to see how y is changing as x is increasing/decreasing in both equations
- Plug the point into each equation and verify that they are both true.
Examples of Solving System of Equations
🎥 Example 3
🎥 Example 3
Steps to remember:
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Section 3.1 Worksheet |
Section 3.1 WS Answers |
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