The document contains notes from a math lesson on solving systems of equations. It includes 5 practice problems asking students to determine the best method to solve each system (elimination, substitution, or graphing) and then to solve it. The final problem asks students to write and solve a system of equations to determine when two volunteers, Jack and Claire, will have volunteered the same number of hours based on their weekly schedules.

1. Lesson 6­5.notebook February 04, 2013
Assignment:
1­­>L6.5, pg. 365­366, #2­20 (evens) ­ Due Wednesday (2/6)

2. Lesson 6­5.notebook February 04, 2013
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

3. Lesson 6­5.notebook February 04, 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".

4. Lesson 6­5.notebook February 04, 2013
Lesson 6.5 examples:
Determine the best method to solve the system of equations. Then solve it.
A) 5x + 7y = 2
­2x + 7y = 9

5. Lesson 6­5.notebook February 04, 2013
B) y + 4x = 3
y = ­4x ­ 1

6. Lesson 6­5.notebook February 04, 2013
C) x ­ y = 9
7x + y = 7

7. Lesson 6­5.notebook February 04, 2013
D) 3x ­ 4y = ­10
5x + 8y = ­2

8. Lesson 6­5.notebook February 04, 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.