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Warm Up #1 September 24
Systems of EquationsSeptember 24th, 2015
Test 1Average: 86.5-89%Progress ReportsQuestions?
In past years we studied systems of linear equations.
We learned three different methods to solve them.
Elimination, Substitution and Graphing
Graphing Method
To solve is to find the intersections of the graph.
Put each in slope intercept form and graph
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.
Example 1-ONE Solution
53
1042
yx
yx
Example 2-NO solutions
723
1046
yx
yx
Example 3-INFINITE Solutions
264
132
yx
yx
Substitution Method
If we know that y = y. Then you can set both of the right hand sides of the equations equal.
Example 1-ONE Solution
53
1042
yx
yx
Example 2-NO solutions
723
1046
yx
yx
Example 3-INFINITE Solutions
264
132
yx
yx
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
Example 1-ONE Solution
53
1042
yx
yx
Example 2-NO solutions
723
1046
yx
yx
Example 3-INFINITE Solutions
264
132
yx
yx
Solve on your own!
Word Problems
Graphs & Solutions
Homework
Pg. 158 #1-4 Pg. 159 #1-3,5 Pg. 160 #1-2