3.2.1 substitution
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3.2.1 substitution

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    3.2.1 substitution 3.2.1 substitution Presentation Transcript

    • 3.2 Solve Linear Systems Algebraically
      The Substitution Method
    • Substitution
      To replace one thing with another of equal value.
    • Substitution
      To replace one thing with another of equal value.
    • Solve a Linear System Using Substitution
      Identify a term
      with a coefficient
      of 1 or -1
    • Solve a Linear System Using Substitution
      Solve that equation
      for that variable
      Substitute this
      expression in the
      OTHER equation
      Solve
    • Solve a Linear System Using Substitution
      Substitute this
      value in the
      altered equation
      Simplify
    • Solve a Linear System Using Substitution
      (-30, 11)
      Write the solution
      as an ordered
      pair
    • Example 2
      (4, 4)
    • Example 3

      Means the
      solution
      does not
      exist
      Nonsense!
    • Example 3
      y=1/2x- 7/2
      Means there
      are infinitely
      many
      solutions
      True, but not helpful.
    • assignment
      p. 164 # 1 - 11 odd