Solve Equations With Variables on Both

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Solve Equations With Variables on Both

• Red card- No Solution
• Yellow Card- 1 Solution
• Green Card-Infinite SOlutions

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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
Undo by using inverse
-3x -18
? -3 undo 2nd
-3 -3
? -3 17
- 17 undo 1st
x 6
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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
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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
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Red card- No SolutionYellow Card- 1
SolutionGreen Card-Infinite Solution
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INFINITE!!!
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SolutionGreen Card-Infinite Solution
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ONE SOLUTION!!
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Red card- No SolutionYellow Card- 1
SolutionGreen Card-Infinite Solution
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SolutionGreen Card-Infinite Solution
NO SOLUTION!!!
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SolutionGreen Card-Infinite Solution
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SolutionGreen Card-Infinite Solution
ONE!!
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SolutionGreen Card-Infinite Solution
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SolutionGreen Card-Infinite Solution
ONE SOLUTION
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SolutionGreen Card-Infinite Solution
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NO SOLUTION