1. Solving Linear Systems by Graphing
3.1 Algebra II

2. Steps Write all equations in the form y=mx+b Graph all equations
The intersection of the lines is the solution to the system of equations

3. Example #1 Solve by graphing. Then check your answer algebraically.
3x-y=3
x+2y=8

4. Example #2
-x+4y=2 2x-3y=6

5. The systems in examples 1 and 2 have exactly one solution
The systems in examples 1 and 2 have exactly one solution. However, it is possible for a system to have no solutions or infinitely many solutions.
Same line= infinitely many solutions
Parallel lines= no solutions

6. Example #3
2x-y=1 -4x+2y=-2

7. Example #4
x+2y=4 x+2y=1

8. Writing and Using a Linear System
You are planning a 7-day trip to California. You estimate that it will cost $300 per day in San Diego and $400 per day in Anaheim. Your total budget for the trip is $ How many days can you spend in each city? Use a graph to find your answer.

9. Assignment Pg
# 8-10, 14-18, 23-30, 35-38, odd