An absolute value measures an expression's distance from a midpoint on a number line.
|5w-7|= 8
This equation means that the distance is 8, either in the positive direction or the negative direction.
|5w-7|= 8 ⇒ l5w-7= 8 5w-7= -8
To find the solutions to the absolute value equation, we need to solve both of these cases for w.
Both 3 and - 15 are solutions to the given equation. By substituting w=3 and w=- 15 into the equation and evaluating, we can check if the solutions are correct. First, let's check w=3.
Because the left-hand and right-hand sides are equal, we know that the solution is correct. Now we will check the second solution by substituting - 15 for w.
