Individually write two examples for each and solve

Individually write two examples for each and solve problems that would require: Substitution Elimination Today, Ms. Sawada is “under the weather. ” I am not willing to fight for your attention or talk in a loud voice. If you are disruptive, I will take DAILY participation points that will lower your overall grade (and cannot be made up). Thank you all for understanding

Tutoring tomorrow Project rough draft due Friday Quiz Friday (systems: substitution, elimination) Friday is the last day to submit make up work Finals week 3/10 -13

Solve systems of equations by eliminating a system by multiplying by -1.

-3 x +5 y = 6 3 x + 2 y = -6

4 x +3 y = 11 -4 x - 3 y = -4

-3 x + 6 y = 9 3 x – 6 y = -9

1. ) 2. ) 3. ) 4. ) 5. ) Pick a variable to eliminate Multiply a whole equation by -1 ** ALL THREE TERMS MUST BE MULTIPLIED BY NEGATIVE ONE! ** Add columns Solve for the variable Substitute and solve for the other variable.

s i e bl ia r a v h c i h W iest to ? eas inate elim 6 x + 6 y = 0 x + 6 y = -5 -1(x + 6 y = -5) -1 x - 6 y = 5 6 x + 6 y = 0 5 x + 0 y = 5 5 x = 5 No dis w trib ute !

5 x = 5 x=1 6( 1 ) + 6 y = 0 6 y = -6 y = -1 (1, -1)

s i e bl ia r a v h c i h W iest to ? eas inate elim 7 x + 2 y = 5 No 8 x + 2 y = 6 dist w rib u te! -1(8 x + 2 y = 6) -8 x - 2 y = -6 7 x + 2 y = 5 -x + 0 y = -1 -x = -1

s i e bl ia r a v h c i h W iest to ? eas inate elim x + 7 y = -5 x-y=3 -1(x - y = 3) -x + y = -3 x + 7 y = -5 0 x + 8 y = -8 No dis w trib ute !

s i e bl 2 x + 4 y = 10 No 2 x + 4 y = -2 dist w rib u te! -1(2 x + 4 y = -2) - 2 x - 4 y = 2 2 x + 4 y = 10 ia r a v h c i h W iest to ? eas inate elim 0 x + 0 y = 12 0 = 12