Distinct or Coincident lines Ex1 Solve for and using substitution What do you notice Ex2 Write a linear system with Infinitely many solutions No solution What does the algebra look like when this happens Solve ID: 241923
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Slide1
Distinct and Coincident LinesSlide2
Distinct or Coincident lines
Ex.1
Solve
for and using substitutionWhat do you notice?
Slide3
Ex.2 Write a linear system with:
Infinitely many solutions
No solutionSlide4
What does the algebra look like when this happens? Solve
each system by
substitution.
a) Infinitely many solutions
Slide5
b) No
solution
(Example 1)Slide6
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 xSlide7
Assigned
Work:
p. 92 # 7cef, 8cfghi, 9, 10, 12efgh,
13 (Application)