distinct and coincident lines

7
Distinct and Coincident Lines

Upload: mab

Post on 15-Feb-2016

52 views

Category:

Documents


0 download

DESCRIPTION

Distinct and Coincident Lines. Distinct or Coincident lines. Ex.1 Solve for and using substitution What do you notice?. Ex.2 Write a linear system with:. Infinitely many solutions No solution. What does the algebra look like when this happens? Solve each system by substitution. - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: Distinct and Coincident Lines

Distinct and Coincident Lines

Page 2: Distinct and Coincident Lines

Distinct or Coincident lines

Ex.1 Solve for and using substitution

What do you notice?

Page 3: Distinct and Coincident Lines

Ex.2 Write a linear system with:

a) Infinitely many solutions b) No solution

Page 4: Distinct and Coincident Lines

What does the algebra look like when this happens? Solve each system by substitution.

a) Infinitely many solutions

Page 5: Distinct and Coincident Lines

b) No solution(Example 1)

Page 6: Distinct and Coincident Lines

When solving a linear system algebraically:

Exactly One Solution:You can find the value of one of the

variables and then solve for the otherNo Solution:You end up with an untrue statement

e.g. 0x = 2 is never trueInfinitely Many Solutions:You end up with 0x = 0, which is true for

any value of x

Page 7: Distinct and Coincident Lines

Assigned Work:p. 92 # 7cef, 8cfghi, 9, 10, 12efgh, 13 (Application)