Notes Over 7.5A Linear System with No or Many SolutionsA Linear System with No or Many Solutions
The graph of system of equations show 3 different situations
1. 2. 3.
1. Two lines intersecting2. Two lines being parallel3. Two lines being the same line
Notes Over 7.5
1236
12 .1
yx
yx
A Linear System with No SolutionsA Linear System with No SolutionsChoose a method to solve the linear system and tell how many solutions the system has.
0
-3
9
x6 y3 31236 yx
Notes Over 7.5
733
5 .2
yx
yx
A Linear System with No SolutionsA Linear System with No SolutionsChoose a method to solve the linear system and tell how many solutions the system has.
0
-3
8
x3 y3 15733 yx
Notes Over 7.5
33
662 .3
yx
yx
A Linear System with No SolutionsA Linear System with No SolutionsChoose a method to solve the linear system and tell how many solutions the system has.
0 12
662 yx-2 x2 y6 6
Notes Over 7.5
1896
632 .4
yx
yx
A Linear System with Many SolutionsA Linear System with Many SolutionsChoose a method to solve the linear system and tell how many solutions the system has.
0
-3
0
x6 y9 181896 yx
Notes Over 7.5
1896
1264 .5
yx
yx
A Linear System with Many SolutionsA Linear System with Many SolutionsChoose a method to solve the linear system and tell how many solutions the system has.
0
/-2
0
x2 y3 6/3 x2 y3 6
Notes Over 7.5
32
624 .6
yx
yx
A Linear System with Many SolutionsA Linear System with Many SolutionsChoose a method to solve the linear system and tell how many solutions the system has.
0
/-2
0
x2 y 332 yx
Notes Over 7.5Solving a Cost ProblemSolving a Cost Problem
7. An artist is buying art supplies. She buys 4 sketchpads and 2 palettes. She pays $16 for the supplies. The following week, at the same prices, she buys 1 sketchpad and 1 palette and pays $5. Can you find the price of one sketchpad? Explain.
s4s p 5
1624 ps
6s2
p2 16-2 p2 10
s2
s 3
5 p
23 3p
3
$3 Sketchpad
$2 Pallet
2 2
Notes Over 7.5