Solve ∣7𝑥+42∣=14𝑥∣7x+42∣=14x. Identify the solution and an extraneous solution.
Question
Solve ∣7𝑥+42∣=14𝑥∣7x+42∣=14x. Identify the solution and an extraneous solution.
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Solution
To solve the equation ∣7𝑥+42∣=14𝑥, we need to consider two cases due to the absolute value:
Case 1: 7x + 42 = 14x Subtract 7x from both sides to get: 42 = 7x Then divide both
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