1. February 29, 2012
7.2 Systems of
Equations
Essential Question:
What are the methods for solving a system of equations
and their types of solutions?
Standard: Linear Algebra 1.0
1

2. February 29, 2012
Methods for Solving Systems of
Linear Equations-
1.
2.
3.
2

3. February 29, 2012
Elimination Method:
1. Get coefficients for one variable that differ only
in sign by multiplying all terms in one or both
equations.
2. Add equations to eliminate one variable and solve.
3. Back-substitute the value and solve for remaining
variables.
4. Check solution in all original equations.
3

4. February 29, 2012
Ex. 1) Solve this system.
4

5. February 29, 2012
Types of Solutions:
5

6. February 29, 2012
Ex. 2) Solve the system.
6

7. February 29, 2012
Ex. 3) Solve the system.
7

8. February 29, 2012
Assignment:
7.2 p. 515 #11, 15,
19, 21, 25, 32, 39
8