Question
Solve the equation \( |5 x+3|=16 \) The solutions are:
Ask by Klein Whittaker. in the United States
Feb 04,2025
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Tutor-Verified Answer
Answer
The solutions are \( x=-\frac{19}{5} \) and \( x=\frac{13}{5} \).
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Mind Expander
To solve the equation \( |5x + 3| = 16 \), we need to consider the two scenarios for the absolute value. 1. \( 5x + 3 = 16 \) - Subtract 3 from both sides: \( 5x = 16 - 3 \) \( 5x = 13 \) - Now, divide by 5: \( x = \frac{13}{5} \) or \( x = 2.6 \) 2. \( 5x + 3 = -16 \) - Subtract 3 from both sides: \( 5x = -16 - 3 \) \( 5x = -19 \) - Now, divide by 5: \( x = \frac{-19}{5} \) or \( x = -3.8 \) Thus, the solutions are \( x = 2.6 \) and \( x = -3.8 \).
