MA19.A1.10
Select an appropriate method to solve a system of two linear equations in two variables.
Select an appropriate method to solve a system of two linear equations in two variables.
UP:MA19.A1.10
Vocabulary
- Solution of a system of linear equations
- Substitution method
- Elimination method
- Graphically solve
- System of linear equations
- Solving systems by addition
- Tabular methods
Knowledge
Students know:
- Appropriate use of properties of addition, multiplication and equality.
- Techniques for producing and interpreting graphs of linear equations.
- Techniques for producing and interpreting tables of linear equations.
- The conditions under which a system of linear equations has 0, 1, or infinitely many solutions.
Skills
Students are able to:
- Accurately perform the operations of multiplication and addition, and techniques for manipulating equations.
- Graph linear equations precisely.
- Create tables and locate solutions from the tables for systems of linear equations.
- Use estimation to find approximate solutions on a graph.
- Contrast solution methods and determine efficiency of a method for a given problem situation.
Understanding
Students understand that:
- The solution of a linear system is the set of all ordered pairs that satisfy both equations.
- Solving a system by graphing or with tables can sometimes lead to approximate solutions.
- A system of linear equations will have 0, 1, or infinitely many solutions.
