QuestionSolve for : . If multiple solutions, separate with commas; if none, enter DNE.
Studdy Solution
STEP 1
Assumptions1. The absolute value of a number is always positive or zero.
. The equation is linear in nature.
3. The equation may have more than one solution.
STEP 2
First, we need to isolate the absolute value on one side of the equation. We can do this by adding to both sides of the equation.
STEP 3
implify the equation.
STEP 4
Next, divide both sides of the equation by7 to isolate the absolute value.
STEP 5
implify the equation.
STEP 6
Since the absolute value of a number is always positive or zero, the equation has no solution if the absolute value is equal to a negative number. Therefore, the solution to this equation is "does not exist" (NE).
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