Elimination!. You can be GREAT if you can ELIMINATE! You can be GREAT if you can ELIMINATE!

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Elimination!

Elimination!You can be GREAT if you can ELIMINATE!Original Equation9c+6b=54C+b=7Elimination!9c+6b=54-6c-6b=-42__________3c/3=12/3__________*C=4

C+b=7x-6__________-6c-6b=-42

4+b=7-4 -4__________*B=3Substitution!9c+6b=549c+6(7-c)=549c+42-6c=54-42 -42__________9c-6c=123c/3=12/3__________*c=4c+b=7-c -c_________b=7-c

4+b=7-4 -4_______*b=3

X=b (KEY)Y=c Graphing!6x+9y=54-6 -6_________9y/9=-6x+54/9_____________Y=-2/3x+6 y+x=7-x -x________Y=-x+7 First Line: Down 2 Right 3

(3,4) INTERSECTION POINTSecond Line: Down 1 Right 1Conclusion!That Claire bought 3 books and 4 CDs!Check For Graphing!6(x) + 9(y)= 546(3) + 9(4) = 5418+36= 54y+x=74+3=7Steps 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 youre correct.Terms and DefinitionsB or x stands for booksC or Y stands for CDs$54 is the total amount Claire had!She only bought 7 items!