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SOLVE EQUATIONS WITH VARIABLES ON BOTH RED CARD- NO SOLUTION YELLOW CARD- 1 SOLUTION GREEN CARD-INFINITE SOLUTIONS bkevil.

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Presentation on theme: "SOLVE EQUATIONS WITH VARIABLES ON BOTH RED CARD- NO SOLUTION YELLOW CARD- 1 SOLUTION GREEN CARD-INFINITE SOLUTIONS bkevil."— Presentation transcript:

1 SOLVE EQUATIONS WITH VARIABLES ON BOTH RED CARD- NO SOLUTION YELLOW CARD- 1 SOLUTION GREEN CARD-INFINITE SOLUTIONS bkevil

2 RED CARD- NO SOLUTION YELLOW CARD- 1 SOLUTION GREEN CARD-INFINITE SOLUTIONS 2(X + 7) + 3 = 5X - 1 2x + 14 + 3 = 5x – 1 bkevil 1) Get rid of ( ) --distribute 2) Combine like terms 2x + 17 = 5x - 1 -5x 3) Get variables on same side – use inverse operation -3x + 17 = - 1 4) Solve 2 step equation  -3 + 17 Undo by using inverse  -3 undo 2 nd - 17 undo 1 st - 17 - 17 -3x = -18 -3 -3 x = 6

3 RED CARD- NO SOLUTION YELLOW CARD- 1 SOLUTION GREEN CARD-INFINITE SOLUTION 9 + 5x = 5x + 9 bkevil -5x -5x Get variables on same side of equation – use inverse operation (subtract 5x) The variables zeroed out and remaining is a true statement where a number is equal to itself – this is called an identity 9 = 9 x = Infinite The solution is all real numbers

4 RED CARD- NO SOLUTION YELLOW CARD- 1 SOLUTION GREEN CARD-INFINITE SOLUTIONS 6x – 1 = 6x – 8 bkevil -6x Get variables on same side of equation – use inverse operation (subtract 6x) 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. -1 = - 8 x = no solutions The solution is no real numbers or empty set

5 bkevil Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite Solution

6 bkevil INFINITE!!!

7 bkevil Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite Solution

8 bkevil ONE SOLUTION!!

9 bkevil Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite Solution

10 bkevil Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite Solution NO SOLUTION!!!

11 bkevil Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite Solution

12 bkevil Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite Solution ONE!!

13 bkevil Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite Solution

14 bkevil Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite Solution ONE SOLUTION

15 bkevil Red card- No Solution Yellow Card- 1 Solution Green Card-Infinite Solution

16 bkevil NO SOLUTION

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