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