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Systems of Equations

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  • solve by graphing y= x+6 y=-2x-3
    (-3,3)
  • What are the three different types of solutions?
    one solution no solutions infinitely many solutions
  • What are the four methods of solving systems of equations?
    substitution graphing elimination matrices
  • Which method of solving did we learn first?
    substitution
  • What is the first step with solving by substitution?
    Isolate a variable
  • solve by elimination x + 3y = -5 4x - y = 6
    (1,-2)
  • solve by elimination 3x − y = 5 x + y = 3
    (2,1)
  • solve by elimination 2x - 5y = 11 3x + 2y = 7
    (3,-1)
  • Who won the last women's world cup?
    U.S.A!
  • How do you write the solution for a system of equation?
    ordered pair
  • solve by graphing 3x + 2y = 16 -6x + y = -7
    (2,5)
  • What is the first step when solving by elimination?
    Identify a variable to eliminate
  • solve by substitution y= -4x + 8 y= x + 3
    (1,4)
  • solve by substitution y = 5x − 7 −3x − 2y = −12
    (2,3)
  • What form do the equations need to be written in order to solve by graphing
    slope intercept form
  • When you are identifying a variable to eliminate you want to look for ______ signs, but ______numbers and variables
    opposite, same
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