Lesson 6­5.notebook

Assignment:

1­­>L6.5, pg. 365­366, #2­20 (evens) ­ Due Tomorrow (11/22)

2­­>Chapter 6 Test ­ Tuesday [12/3]

November 21, 2013
Lesson 6­5.notebook

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

November 21, 2013
Lesson 6­5.notebook

November 21, 2013

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".
Lesson 6­5.notebook

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

November 21, 2013
Lesson 6­5.notebook

B) y  +  4x  =  3
y  =  ­4x  ­  1

November 21, 2013
Lesson 6­5.notebook

C)

x   ­   y  =  9
7x  +  y  =  7

November 21, 2013
Lesson 6­5.notebook

November 21, 2013

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

November 21, 2013

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.

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