![Page 1: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/1.jpg)
Warm - Up
Are you smarter than a 4th grader???:
• There are three times as many dogs as birds
• There are 5 more cats than birds
• There are 24 cats
• How many dogs are there?
![Page 2: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/2.jpg)
Alg2 Lesson 3-6Systems with 3 variables
Objectives:
1. Solve a system with 3 variables using elimination or substitution.
![Page 3: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/3.jpg)
Graphs of Systems with 3 variables
![Page 4: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/4.jpg)
Steps for Solving Systems of 3 Variables
• Use the first two equations and solve for one of the variables ( call new equation #4)
• Use the last two equations and solve for the same variable (call new equation #5)
• Use the two new equations (#4 and #5) and solve for one variable
• Substitute your known variable into equation #4 or #5 to solve for a second variable
• Substitute both known variables into one of the original equations to find final unknown variable
![Page 5: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/5.jpg)
• Simple example:
2 3 6x y z 2 0y z
2z
![Page 6: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/6.jpg)
![Page 7: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/7.jpg)
![Page 8: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/8.jpg)
![Page 9: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/9.jpg)
![Page 10: Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many](https://reader036.vdocuments.us/reader036/viewer/2022070401/56649f1d5503460f94c34773/html5/thumbnails/10.jpg)
Pg 159 1 – 9 odd