How many cases do you have after you remove the absolute value?
y=14 and y=-20
Practice makes perfect
An absolute value is always a non-negative number because it measures the expression's distance from a midpoint on a number line.
|y+3|= 17
This equation means that the distance is 17, either in the positive direction or the negative direction.
|y+3|= 17 ⇒ ly+3= 17 y+3= - 17
To find the solutions to the absolute value equation, we need to solve both of these cases for y.
Both 14 and -20 are solutions to the given equation. By substituting y=14 and y=-20 into the equation and evaluating, we can check if the solutions are correct. First, let's check y=14.
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 -20 for y.
