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