Problem 69 - Algebra 1: Concepts and Skills

Question

Solve the equation. \(|x+6|=13\)

Step-by-Step Solution

Answer

The solutions to the equation are x = 7 and x = -19.

Step 1: Solve for Positive Value

First, solve the equation assuming the value inside the absolute value brackets is itself equal to 13.\n So, the equation becomes x + 6 = 13. Solving for x yields x = 13 - 6 = 7.

Step 2: Solve for Negative Value

Next, solve the equation assuming the value inside the absolute value brackets is itself equal to -13.\n So, the equation becomes x + 6 = -13. Solving for x yields x = -13 - 6 = -19.