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Assignment:

1­­>L6.2, pg. 345, #1­22 (all) ­ due Wednesday (1/9)
2­­>Test signed??




                                                       1
Lesson 6.2 WarmUp:
Graph the following equations.
1)  y = x ­ 3

2)   y = ­x ­ 3

3)   y = 2x + 4

4)   y = ­3x  + 2

5)   y = ­1/2x  +  2




                                 2
Lesson 6.2:

*Another method for solving a system of linear equations is called 
substitution.

    **Steps for using SUBSTITUTION:
        ­­solve one equation for one variable (isolate 1 variable)
        ­­substitute the new equation into the other equation for the 
             isolated variable; then solve the equation
        ­­then substitute the value from step 2 into either equation and 
             solve for the other variable
        ­­write the solution as an ordered pair
             [check the solution in both equations!]




                                                                            3
Lesson 6.2 examples:
Use substitution to solve the system of equations.
A) y = 2x  +  1
     3x  +  y  =  ­9




B)   x  +  2y  =  6
     3x  ­  4y  =  28




                                                     4
C)   y = 2x  ­  4
     ­6x  +  3y  =  ­12 




D)   2x  ­  y  =  8
     y =  2x  ­  3




                           5
E)   y = 4x ­ 6
     5x  +  3y  =  ­1 




F)   4x  + 5y  =  11
     y  ­  3x = ­13




                         6
G) The sum of 2 numbers is 180 and the difference between them is 24.  Find the 
2 numbers.




                                                                                   7

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