Objective - To solve a system of linear equations by graphing

Document Sample

```					     Objective - To solve a system of linear
equations by graphing.
System of Equations - Two or more equations
involving the same variables.
y
y  2x  1                       x y 5

x  y  5                 (2,3) x    x
y  2x 1                           y  x  5
2                      x            1
m2                                 m  1 
1                                   1
b  1                               b5

(2,3) is the solution to the system.
3 Possible Outcomes

1)                   2)                3)

Lines Intersect       Lines Parallel   Lines Coincide
One                   No              Infinitely
Solution             Solution            Many
Solutions
Solve.
  y  1
x

  x  4
2y                  y          2y  x  4
x  y  1                           x  x
x     x                          2y  x  4
y  x 1    (-2,1)                   1
y x 2
x      2
1                               1
m  1                              m
1                                2
b  1                              b2
(2,1) is the solution to the system.
Solve.                   x  2y  6
      1             x      x
y   x  1
      2             2y  x  6
x  2y  6    y
                     2      2
1                      1
y   x 1              y  x 3
2                      2
1
1               x    m
m                             2
2
b3
b 1
No Solution
Solve.
 1                             2x  6y  12
y  x  2
 3                            2x         2x
2x  6y  12
                               6y  2x 12
y           6      6
1                                       1
y x 2                                 y x 2
3                                       3
1                              x       1
m                                     m
3                                      3
b2                                    b2
Infinitely Many Solutions

```
DOCUMENT INFO
Shared By:
Categories:
Stats:
 views: 11 posted: 3/10/2010 language: English pages: 5
How are you planning on using Docstoc?