September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned...
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Transcript of September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned...
![Page 1: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/1.jpg)
Warm Up #1 September 24
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Systems of EquationsSeptember 24th, 2015
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Test 1Average: 86.5-89%Progress ReportsQuestions?
![Page 4: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/4.jpg)
In past years we studied systems of linear equations.
We learned three different methods to solve them.
Elimination, Substitution and Graphing
![Page 5: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/5.jpg)
Graphing Method
To solve is to find the intersections of the graph.
Put each in slope intercept form and graph
![Page 6: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/6.jpg)
Calculator Notes
1. Type equation 1 = y1, equation 2 = y2
2. Push 2ndTRACE5, move cursor to the left intersection push ENTER 3 times.
3. Push 2ndTRACE5, move cursor to the right intersection push ENTER 3 times.
![Page 7: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/7.jpg)
Example 1-ONE Solution
53
1042
yx
yx
![Page 8: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/8.jpg)
Example 2-NO solutions
723
1046
yx
yx
![Page 9: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/9.jpg)
Example 3-INFINITE Solutions
264
132
yx
yx
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Substitution Method
If we know that y = y. Then you can set both of the right hand sides of the equations equal.
![Page 11: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/11.jpg)
Example 1-ONE Solution
53
1042
yx
yx
![Page 12: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/12.jpg)
Example 2-NO solutions
723
1046
yx
yx
![Page 13: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/13.jpg)
Example 3-INFINITE Solutions
264
132
yx
yx
![Page 14: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/14.jpg)
Elimination Method
We want to eliminate one of the variables. If the equation is not set up so a variable will cancel, multiply each side by a number that will be able to cancel
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Example 1-ONE Solution
53
1042
yx
yx
![Page 16: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/16.jpg)
Example 2-NO solutions
723
1046
yx
yx
![Page 17: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/17.jpg)
Example 3-INFINITE Solutions
264
132
yx
yx
![Page 18: September 24 th, 2015 Questions? In past years we studied systems of linear equations. We learned three different methods to solve them. Elimination,](https://reader036.fdocuments.us/reader036/viewer/2022070418/5697c0211a28abf838cd2e3a/html5/thumbnails/18.jpg)
Solve on your own!
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Word Problems
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Graphs & Solutions
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Homework
Pg. 158 #1-4 Pg. 159 #1-3,5 Pg. 160 #1-2