The equation |2x – 8| + 3 = 5 has 2 solutions. Those solutions are equal to the solutions to which of the following pairs of equations?
Question
Solution 1
The equation |2x – 8| + 3 = 5 can be simplified to |2x – 8| = 2. This absolute value equation can be split into two separate equations: 2x - 8 = 2 and 2x - 8 = -2.
Solving these two equations gives:
2x - 8 = 2 --> 2x = 10 --> x = 5 2x - 8 = -2 --> 2x = 6 --> x = 3
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