3.1
Graphing
Systems of
Equations
The superior man is modest in his speech, but exceeds in his actions.

Graphing Systems of Equations
Ex1) Solve the system by graphing: x

2 y
 
7
2 x

3 y

0
-5 -4 -3 -2 -1
-1
-2
-3
-4
-5
5
4
3
2
1
1 2 3 4 5

Graphing Systems of Equations
Ex2) The table shows the number of pairs of shoes sold by two new employees at a shoe store. Using a graphing calculator, find linear models for each employee’s sales. Graph the data and models. Predict the week in which they could sell the same number of pairs of shoes.
Week 1 2 3 4
Ed 50 55 63 67
Jo 40 47 56 62

slope y intercept
Solution Possibilities

Classifying Without Graphing
Classify each system without graphing.
y

2 x

3
Ex3)
 4 x

2 y
 
2
Ex4)

3 x y 2
2 y

6 x

4
Three options: Independent, dependent, or inconsistent.

HW: 1, 5, 9, 13-23 odd, 25, 29, 33, 37 3.1
Graphing
Systems of
Equations
The superior man is modest in his speech, but exceeds in his actions.