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7.2 Linear Systems
Algebra 2
11
7.2 LINEAR SYSTEMS
Learning Targets
1.
Use elimination to solve a system of linear equations.
2.
Tell whether or not a system of equations has 0, 1, or infinite solutions.
A third way to solve a system of linear equations is by a method called “elimination”.
The goal is to line up the variables
and add the equations together so that one of the variables is eliminated
.
Elimination works great when all the variables have coefficients other than 1 or –1.
Example 1
:
Solve the system of equations by elimination:
42
7
23
xy
Example 2
:
Solve the system of equations by elimination:
3
7
15
52
4
Example 3
:
Solve the system of equations by elimination:
23 1
34
8
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Algebra 2
12
Solving a system of equations does not always end up with a unique solution.
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This note was uploaded on 04/11/2011 for the course MATH 1100 taught by Professor Staff during the Spring '08 term at North Texas.
 Spring '08
 staff
 Linear Equations, Equations, Linear Systems

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