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Elimination!

Elimination!. “You can be GREAT if you can ELIMINATE!”. Original Equation. 9c+6b=54 C+b =7. Elimination!. 9c+6b=54 -6c-6b=-42 __________ 3c/3=12/3 __________ *C=4. C+b =7 x-6 __________ -6c-6b=-42. 4+b=7 -4 -4 __________ *B=3. Substitution!. X=b (KEY)

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Elimination!

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  1. Elimination!

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

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

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

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

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

  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.

  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!

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