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3.2 Solve Linear Systems Algebraically The Elimination Method
Elimination Using multiplication, create additive inverses (two terms that when added together equal zero).   Add the two equations together and solve for the remaining variable. Use the value obtained in one of the original equations to find the value of the other variable.
Example 1: Examine the  coefficients of x *-2 Multiply the  first equation  by -2 to create  additive inverses  with the x-terms Add, then solve.
Example 1: Substitute this value in either of the  original equations and solve. Write the solution as an ordered pair. (-4/3, -2)
Example 2: *2 (-4, 0)
Example 4: *-2 True, but not helpful. Means infinitely many solutions y = 4/3 x – 10/3 What would it look like  for no solution?
Assignment p. 164   # 15 – 25  odd

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3.2.2 elimination

  • 1. 3.2 Solve Linear Systems Algebraically The Elimination Method
  • 2. Elimination Using multiplication, create additive inverses (two terms that when added together equal zero). Add the two equations together and solve for the remaining variable. Use the value obtained in one of the original equations to find the value of the other variable.
  • 3. Example 1: Examine the coefficients of x *-2 Multiply the first equation by -2 to create additive inverses with the x-terms Add, then solve.
  • 4. Example 1: Substitute this value in either of the original equations and solve. Write the solution as an ordered pair. (-4/3, -2)
  • 5. Example 2: *2 (-4, 0)
  • 6. Example 4: *-2 True, but not helpful. Means infinitely many solutions y = 4/3 x – 10/3 What would it look like for no solution?
  • 7. Assignment p. 164 # 15 – 25 odd