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Solve Equations With Variables on Both

Solve Equations With Variables on Both. Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite SOlutions. 1) Get rid of ( ) --distribute. 4) Solve 2 step equation. 3) Get variables on same side – use inverse operation. 2) Combine like terms.

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Solve Equations With Variables on Both

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  1. Solve Equations With Variables on Both Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite SOlutions

  2. 1) Get rid of ( ) --distribute 4) Solve 2 step equation 3) Get variables on same side – use inverse operation 2) Combine like terms Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite SOlutions2(x + 7) + 3 = 5x - 1 2x + 14 + 3 = 5x – 1 2x + 17 = 5x - 1 -5x -5x -3x + 17 = - 1 - 17 - 17 -3x = -18 Undo by using inverse -3 undo 2nd -3 -3  -3 + 17 -17 undo 1st x = 6

  3. The solution is all real numbers Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite SOlution 9 + 5x = 5x + 9 Get variables on same side of equation – use inverse operation (subtract 5x) -5x -5x 9 = 9 The variables zeroed out and remaining is a true statement where a number is equal to itself – this is called an identity x = Infinite

  4. The solution is no real numbers or empty set Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite SOlutions 6x – 1 = 6x – 8 Get variables on same side of equation – use inverse operation (subtract 6x) -6x -6x -1 = - 8 The variables zeroed out and remaining is a false statement where a number is equal to a different number, so there will be no number that will work in the equation. x = no solutions

  5. Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution

  6. INFINITE!!!

  7. Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution

  8. ONE SOLUTION!!

  9. Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution

  10. Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution NO SOLUTION!!!

  11. Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution

  12. Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution ONE!!

  13. Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution

  14. Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution ONE SOLUTION

  15. Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution

  16. NO SOLUTION

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