1. Introduction to System of Equations and Points of Intersection

2. System of Equations Point of Intersection
Where two curves cross. Can be written as a coordinate point or (x,y). This point is on BOTH curves.
System of Equations
A collection of two or more curves with the same variables. For example:

3. Buying Bicycles
Latanya and George are saving up money to buy new bicycles. Latanya opened a savings account with $50. She is determined to save an additional $30 a week. George started a savings account with $75. He is able to save 25 a week. When will they have the same amount in their savings accounts?
Solution Method 2:
Create one Graph for both
Money (y) depends on the weeks (x) it has been saved
Solution Method 1: Create tables
Latanya
George
Weeks
Dollars
Weeks
Dollars
Dollars 50 75 1 80 1
100
5 weeks 2
(5, 200)
The solution is where the two curves intersect 2
110
125 3
140 3
150 4
170 4
175
The answer is where the input AND the output are identical 5
200 5
200 6
230 6
225
Weeks 7
260 7
250
Use the tables to set up a good window