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Lesson 6­4.notebook                                                         January 28, 2013



            Assignment:

            1­­>L6.4 ­­>pg. 357­358, #2­24 (evens) ­ Due Wednesday (1/30)
Lesson 6­4.notebook                                                    January 28, 2013


          Lesson 6.4 WarmUp:
          Use substitution to solve the system of equations in #1­2.
          1) y = 3x ­2
               y = 2x ­ 5

          2)     x = y ­ 1
                 ­x + y = ­1

          Use elimination to solve the system of equations in #3­5.
          3) 8x + 5y = 38
              ­8x + 2y = 4

          4)     5m ­ 2p = 24
                 3m + 2p = 24

          5)     6x ­ 2y = 1
                 10x ­ 2y = 5
Lesson 6­4.notebook                                                               January 28, 2013

           Lesson 6.4:

           *Sometimes we need to multiply one or both of the equations ­ to be able 
           to use "elimination" for solving the system of equations.

                 Steps:
                     ­­Multiply at least one equation by a number to get 2 equations 
                         that have opposite terms
                     ­­Add the equations ­ eliminating one variable.  Solve for it.
                     ­­Substitute the value from step 2 into one of the equations and 
                         solve for the other variable.
                     ­­Write the solution as an ordered pair.
Lesson 6­4.notebook                                             January 28, 2013

            Lesson 6.4 examples:
            Use elimination to solve the system of equations.
            A) 5x + 6y = ­8
                ­2x ­ 3y = 5




            B)    6x ­ 2y = 10
                  3x ­ 7y = ­19
Lesson 6­4.notebook                  January 28, 2013


            C)    9x  +  y  = 13
                  3x  +  2y  =  ­4




            D) 4x + 2y = 8
               3x + 3y = 9
Lesson 6­4.notebook                   January 28, 2013



             E)       5x ­ 3y = 6
                      2x + 5y = ­10




             F)       6x +  2y = 2
                      4x + 3y = 8

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8th alg -l6.4--jan28

  • 1. Lesson 6­4.notebook January 28, 2013 Assignment: 1­­>L6.4 ­­>pg. 357­358, #2­24 (evens) ­ Due Wednesday (1/30)
  • 2. Lesson 6­4.notebook January 28, 2013 Lesson 6.4 WarmUp: Use substitution to solve the system of equations in #1­2. 1) y = 3x ­2 y = 2x ­ 5 2) x = y ­ 1 ­x + y = ­1 Use elimination to solve the system of equations in #3­5. 3) 8x + 5y = 38 ­8x + 2y = 4 4) 5m ­ 2p = 24 3m + 2p = 24 5) 6x ­ 2y = 1 10x ­ 2y = 5
  • 3. Lesson 6­4.notebook January 28, 2013 Lesson 6.4: *Sometimes we need to multiply one or both of the equations ­ to be able  to use "elimination" for solving the system of equations. Steps: ­­Multiply at least one equation by a number to get 2 equations  that have opposite terms ­­Add the equations ­ eliminating one variable.  Solve for it. ­­Substitute the value from step 2 into one of the equations and  solve for the other variable. ­­Write the solution as an ordered pair.
  • 4. Lesson 6­4.notebook January 28, 2013 Lesson 6.4 examples: Use elimination to solve the system of equations. A) 5x + 6y = ­8 ­2x ­ 3y = 5 B) 6x ­ 2y = 10 3x ­ 7y = ­19
  • 5. Lesson 6­4.notebook January 28, 2013 C) 9x  +  y  = 13 3x  +  2y  =  ­4 D) 4x + 2y = 8 3x + 3y = 9
  • 6. Lesson 6­4.notebook January 28, 2013 E) 5x ­ 3y = 6 2x + 5y = ­10 F) 6x +  2y = 2 4x + 3y = 8