6.1 ­ Solving Systems by Graphing.notebook
6.1: Solving Systems by Graphing
February 01, 2016
Date: 2/1
§ Two or more linear equations form a system of linear equations.
§ Any ordered pair that makes all of the equations in a system true
is
a solution of a system of linear equations.
§ The ordered pair that is a solution of the system lies on both
graphs
and is called the point of intersection of the graphs.
ex:
1
6.1 ­ Solving Systems by Graphing.notebook
February 01, 2016
Solve the following systems graphically:
Ex 1).
Ex 2).
2
6.1 ­ Solving Systems by Graphing.notebook
February 01, 2016
Solve the following systems graphically:
Ex 3).
Ex 4).
3
6.1 ­ Solving Systems by Graphing.notebook
February 01, 2016
Ex 5). Suppose one puppy weighs 5 pounds at birth and grows at a rate
of 0.25 pounds per month over the first several months. Another puppy
weighs 4 pounds at birth and grows at a rate of 0.5 pounds per month.
After how many months will the puppies weigh the same amount?
y
12
11
10
9
8
7
6
5
4
3
2
1
0
x
1
2
3
4
5
4
6.1 ­ Solving Systems by Graphing.notebook
February 01, 2016
Types of Systems of Equations:
CONSISTENT = has at least one solution
INDEPENDENT
INCONSISTENT
DEPENDENT
5
6.1 ­ Solving Systems by Graphing.notebook
February 01, 2016
Solve the system graphically.
Ex 6).
Ex 7).
6
6.1 ­ Solving Systems by Graphing.notebook
February 01, 2016
Homework:
pg. 367 #2, 4 – 8,
10 – 30(e), 36 (12 graphs)
*all graphs on graph paper
7