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Assignment:

1­­>L6.5, pg. 365­366, #1­20 (all) ­ Due Wednesday (1/25)




                                                            1
Lesson 6.5 WarmUp:
Use elimination to solve the systems of equations.
1)   ­4x  +  5y  =  17
     4x  +  6y  =  ­6

2)   6x  ­  2y  =  1
     10x  ­  2y  =  5

3)   2x  ­  y  =  4
     7x  +  3y  =  27

4)   2x  +  7y  =  1
     x  +  5y  =  2

5)   9x  ­  2y  =  ­8
     ­7x  +  3y  =  12




                                                     2
Lesson 6.5:
*We have now learned several ways to solve systems of equations:

         ­­graphing
         ­­substitution
         ­­elimination (using addition or subtraction)
         ­­elimination (using multiplication)

**Sometimes it is easier to "choose" which method to solve it...based on the 
types of equations that you have been given.

    ***Substitution and elimination are the "algebraic" methods ­ and 
graphing is good when you need an "estimate".




                                                                                3
Lesson 6.5 examples:
Determine the best method to solve the system of equations.  Then solve it.
A) 5x  +  7y  =  2
    ­2x  +  7y  =  9




                                                                              4
B) y  +  4x  =  3
    y  =  ­4x  ­  1




                      5
C)   x   ­   y  =  9
     7x  +  y  =  7




                       6
D) 3x   ­   4y  =  ­10
     5x  +  8y  =  ­2




                         7
E) Jack has volunteered at SJ 50 hours and plans to volunteer 3 hours in each 
coming week.  Another volunteer, Claire, plans to volunteer 5 hours each week.  
Write and solve a system of equations to find out when it will be when they have 
volunteered the same number of hours.




                                                                                    8

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8th Alg - L6.5 - Jan23