1. Elimination!

2. “You can be GREAT if you can ELIMINATE!” “You can be GREAT if you can ELIMINATE!”

3. Original Equation 9c+6b=54 C+b=7 9c+6b=54 C+b=7

4. Elimination! 9c+6b=54 -6c-6b=-42 __________ 3c/3=12/3 __________ *C=4 9c+6b=54 -6c-6b=-42 __________ 3c/3=12/3 __________ *C=4 C+b=7 x-6 __________ -6c-6b=-42 C+b=7 x-6 __________ -6c-6b=-42 4+b=7 -4 __________ *B=3 4+b=7 -4 __________ *B=3

5. Substitution! 9c+6b=54 9c+6(7-c)=54 9c+42-6c=54 -42 __________ 9c-6c=12 3c/3=12/3 __________ *c=4 9c+6b=54 9c+6(7-c)=54 9c+42-6c=54 -42 __________ 9c-6c=12 3c/3=12/3 __________ *c=4 c+b=7 -c _________ b=7-c 4+b=7 -4 _______ *b=3 c+b=7 -c _________ b=7-c 4+b=7 -4 _______ *b=3 X=b (KEY) Y=c X=b (KEY) Y=c

6. Graphing! 6x+9y=54 -6 _________ 9y/9=-6x+54/9 _____________ Y=-2/3x+6 6x+9y=54 -6 _________ 9y/9=-6x+54/9 _____________ Y=-2/3x+6 y+x=7 -x ________ Y=-x+7 y+x=7 -x ________ Y=-x+7 First Line: Down 2 Right 3 (3,4) INTERSECTION POINT First Line: Down 2 Right 3 (3,4) INTERSECTION POINT Second Line: Down 1 Right 1

7. Conclusion! That Claire bought 3 books and 4 CDs!

8. Check For Graphing! 6(x) + 9(y)= 54 6(3) + 9(4) = 54 18+36= 54 y+x=7 4+3=7

9. Steps For Elimination! Write the system so that like terms are aligned. ELIMINATE one of the variables and solve for the other variable. Substitute the value of the variables into one of the original equations and solve for the other variable. Write the answer from the last 2 steps as (x,y). And check to see if you’re correct. Write the system so that like terms are aligned. ELIMINATE one of the variables and solve for the other variable. Substitute the value of the variables into one of the original equations and solve for the other variable. Write the answer from the last 2 steps as (x,y). And check to see if you’re correct.

10. Terms and Definitions “B” or “x” stands for books “C” or “Y” stands for CDs $54 is the total amount Claire had! She only bought 7 items! “B” or “x” stands for books “C” or “Y” stands for CDs $54 is the total amount Claire had! She only bought 7 items!