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OBJ: Solve Linear systems graphically

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SOLVING LINEAR SYSTEM OF 3 VARIABLE ... Solve Linear systems graphically & algebraically 3.6 Solving Systems of Linear Equations in Three Variables Slide 3 ... – PowerPoint PPT presentation

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Title: OBJ: Solve Linear systems graphically


1
OBJ Solve Linear systems graphically
algebraically
IN YOUR NOTEBOOK.
  • Do Now Solve GRAPHICALLY
  • 1) y 2x 4
  • y x - 1
  • Do Now Solve ALGEBRAICALLY
  • Substitution OR Linear Combination
  • 2) 2x 3y 5
  • 2x y 4

2
3.6 Solving Systems of Linear Equations in Three
Variables
  • CHOOSE THE SAME VARIABLE TO ELIMINATE FROM EACH
    SET EQN 12 THEN EQN 23
  • SOLVE AGAIN BUT USING THE NEW EQNS THIS TIME
  • SUBSTITUTE TO FIND THE LAST VARIABLE

3
Ex
  • 3x 2y 4z 11
  • 2x y 3z 4
  • 5x 3y 5z -1
  • FIND WHICH VARIABLE YOU CAN ELIMINATE FROM EQN
    1 2 AND
  • EQN 2 3

4
  • LETS PICK TO ELIMINATE y
  • 3x 2y 4z 11
  • 2x y 3z 4

5
  • SINCE YOU ELIMINATED y
  • YOU NEED TO ELIMINATE THE SAME VARIABLE AGAIN
    NOW
  • 2x y 3z 4
  • 5x 3y 5z -1

6
  • SOLVE THE NEW EQUATIONS
  • FROM EQN 12 7x 10z 19
  • FROM EQN 23 -x 4z -13

7
  • SUBSTITUTE BACK INTO ANY OF THE ORIGINAL
    EQUATIONS TO FIND THE REMAINING VARIABLE
  • 3x 2y 4z 11

8
  • WRITE THE SOLUTION AS AN ORDERED TRIPLE
  • (-3, 2, 4)
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