Objective: To be able to solve linear systems graphically

1
Objective To be able to solve linear systems
graphically

• POD Graph the following piecewise function

2
Try another one for practice








3
Problem The chex snack company would like to
market a new snack that will contain nuts and
dried fruit. The cost of a lb of nuts is 1 and
the cost of a lb of dried fruit is 2. The
company would like to keep the cost of the bag
at 4, and at the same time the amount of nuts in
the mixture should be 2 times as many as the
dried fruit for optimal taste.
Question How many lbs of dried fruits and how
many lbs of nuts should be used in each bag?
4
A problem like this involves a system(2
equations acting on the same variables)

• Let y represent the lbs of nuts in the mixture
• Let x represent the lbs of dried fruit in the
  mixture

1) The Cost
Write an equation that related the numbers of lbs
of nuts and dried fruit that can be bagged for 4
2) The Taste
Write an equation that related the numbers of lbs
of nuts and dried fruit to represent the taste
preference
5
NUTS(y)










DRIED FRUIT(x)
HOW MANY LBS NUTS AND HOW MANY LBS FRUIT SHOULD
BE USED IN THE MIX?
6
Ex. 1 Solve the system
Ex. 2 Try this one
7
Ex. 3 Solve the system
Ex. 4 Solve the system
8
Types of situations in solving linear systems
Ex. 5 Solve the system 2x 3y 6 4x 6y 12
Ex. 6 Solve the system 2x y 4 2x y 1
















9
Graphing Systems Results in The following
Situations
Number of Solutions
Number of Solutions
Number of Solutions
10
Ex. 7
Ex. 8
11
Ex. 9 Solve the system y 3 4x 20x - 5y -15








12
(No Transcript)