# systems

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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.
is (2,0).
No Solution

 The lines are parallel and never intersect
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.
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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 views: 3 posted: 12/12/2011 language: English pages: 7