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Distinct and Coincident Lines

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.

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Distinct and Coincident Lines

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  1. Distinct and Coincident Lines

  2. Distinct or Coincident lines Ex.1 Solve for andusing substitution What do you notice?

  3. Ex.2 Write a linear system with: Infinitely many solutions No solution

  4. What does the algebra look like when this happens? Solve each system by substitution. a) Infinitely many solutions

  5. b) No solution(Example 1)

  6. When solving a linear system algebraically: Exactly One Solution: You can find the value of one of the variables and then solve for the other No Solution: You end up with an untrue statement e.g. 0x = 2 is never true Infinitely Many Solutions: You end up with 0x = 0, which is true for any value of x

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

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