Problem 103 of 7
Solve the absolute-value equation |x - 5| = 2x - 1 and check for extraneous solutions.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
isolate, split cases, and check for extraneous solutions.
Hidden until you reveal it.
Equation must have a linear expression outside the absolute value and require checking.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Split into positive and negative cases.
2. Solve each linear equation.
3. Substitute candidates into the original equation and discard extraneous values.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Extraneous branch values.