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					Running a Race
Systems of Equations

  A "system" of equations is a set or
   collection of equations that you deal with
   all together at once.

  We will only look at linear systems in our
   class.
 On your graph paper do the following:
In the top left hand corner graph:
                           y = -3x + 6 and
                           y = 2x -4
In the top right hand corner graph
                           y = 2x + 1 and
                           y = 2x +4
In the bottom left hand corner graph
                           y = -5 + 2x and
                           y = 2x - 5
One Point

  ONE POINT – The answer is where the
   two lines intersect.
                         The answer
                           is (2,0).
No Solution

  The lines are parallel and never intersect
                           For the answer to
                            this system we
                            would write no
                            solution because
                            the two graphs
                            are parallel and
                            never intersect
                            (they have the
                            same slope).
Infinitely Many Solutions

  The answer to a system is a whole line.
                         The answer is the
                         whole line so we
                         say infinitely
                         many solutions
                         (when you graph
                         both equations it
                         produces the
                         same line).
How to get the point of
intersection on your
calculator
  Press Y = and put your first equation in
   y1 and your second equation in y2.
  Press graph
  The press 2nd trace.
  Select 5 (intersection).
  Hit enter 3 times.

				
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posted:12/12/2011
language:English
pages:7