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Assignment:

1­­>L6.3 ­­>pg. 351­352, #1­22 all ­ Due Thursday (1/19)
2­­>Checkpoint 6.1­6.2 ­ Due Thursday (1/19)




                                                           1
Lesson 6.3 WarmUp:
Solve #1­2 by graphing.
1) y = 1/2x
     x + y = 3

2)   y = 2x + 3
     3y = 6x ­ 6

Solve #3­5 by substitution.
3) x + 2y = 13
     3x ­ 5y = 6

4)   y = 4x ­ 1               5)   x ­ 5y = 10
     y = 2x ­ 5                    2x ­ 10y = 20




                                                   2
Lesson 6.3:

*ANOTHER way to solve a linear system is by using ELIMINATON.

   *Steps:
       ­write the system so that "like" terms are aligned
       ­add or subtract the equations, eliminating one variable.  Then 
            solve for the remaining variable
       ­substitute the value from step 2 into one of the equations and 
            solve for the other variable 
       ­write the solution as an ordered pair




                                                                          3
Lesson 6.3 examples:
Use elimination to solve each system of equations.
A) 4x + 6y = 32
     3x ­ 6y = 3




B)   4y + 3x = 22
     3x ­ 4y = 14




                                                     4
**Sometimes we can eliminate one variable by "subtracting" one equation 
from the other one...
C) 8b + 3c = 11
     8b + 7c = 7




D)   2t + 5r = 6
     9r + 2t = 22




                                                                           5
E) ­3 times a number plus 5 times another number is ­11.  3 times the 
first number plus 7 times the other number is ­1.  Find each number.




                                                                         6

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8th Alg - L6.3--Jan12