Objective: To be able to solve linear systems graphically POD Graph the following piecewise function

Try another one for practice

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?

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

NUTS( y ) DRIED FRUIT( x ) HOW MANY LBS NUTS AND HOW MANY LBS FRUIT SHOULD BE USED IN THE MIX?

Ex. 1 Solve the systemEx. 2 Try this one

Ex. 3 Solve the systemEx. 4 Solve the system

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

Graphing Systems Results in The following Situations Number of Solutions

Ex. 7 Ex. 8

Ex. 9 Solve the system y = 3 + 4x 20x - 5y = -15