Absolute Value Equations
- Page ID
- 221382
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Absolute Value Equations Equations Involving Absolute Values Example
Example Example x = 3 or x = -1/3 Dividing by 3 Example | 4x + 7| = -3
Solution This equation has no solution, since an absolute value cannot be negative.
Example | 2x - 6| = 0
Solution Since positive and negative 0 mean the same thing, we only need one equation 2x - 6 = 0 2x = 6 x = 3
Exercises Solve the following. Put your mouse on the yellow rectangle to check your solution.
Equations That have Absolute Value Signs on Both Sides
Example: Solution: 3x + 4 = 2x - 3 or 3x + 4 = -2x + 3 Distributing the (-) 3x = 2x - 7 or 3x = -2x - 1 Subtracting 4 x = -7 or 5x = -1 Subtracting (Adding) the 2x x = -7 or or x = -1/5 Dividing by 5
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