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SOLVE EQUATIONS WITH VARIABLES ON BOTH
RED CARD- NO SOLUTION
YELLOW CARD- 1 SOLUTION
GREEN CARD-INFINITE SOLUTIONS
bkevil
RED CARD- NO SOLUTIONYELLOW CARD- 1 SOLUTIONGREEN 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 -5x 3) Get variables on same
side – use inverse operation-3x + 17 = - 14) Solve 2 step equation
-3
+ 17
Undo by using inverse -3 undo 2nd - 17 undo 1st
- 17 - 17 -3x = -18 -3 -3
x = 6
RED CARD- NO SOLUTIONYELLOW CARD- 1 SOLUTIONGREEN 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
RED CARD- NO SOLUTIONYELLOW CARD- 1 SOLUTIONGREEN CARD-INFINITE SOLUTIONS
6x – 1 = 6x – 8
bkevil
-6x -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
bkevil
Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution
bkevil
INFINITE!!!
bkevil
Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution
bkevil
ONE SOLUTION!!
bkevil
Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution
bkevil
Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution
NO SOLUTION!!!
bkevil
Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution
bkevil
Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution
ONE!!
bkevil
Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution
bkevil
Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution
ONE SOLUTION
bkevil
Red card- No SolutionYellow Card- 1 SolutionGreen Card-Infinite Solution
bkevil
NO SOLUTION