If your equation has an absolute value, you will need to solve two equations, isolating the absolute value expression first. It is important to remember that absolute values have no effect on the other terms or factors in an equation -- only the argument can have a positive or negative sign. Skip to content. Learning Objectives Solve equations containing absolute values Recognize when a linear equation that contains absolute value does not have a solution.
There is no solution to this equation, or DNE. Licenses and Attributions. CC licensed content, Original. Solving absolute value equations differs only slightly from solving linear equations. Absolute value equations are solved algebraically by isolating the variable, but such solutions require extra steps if there is a number outside the absolute value symbols. Solve an absolute value equation that contains a number outside the absolute value bars by algebraically moving that number to the side of the equation opposite the variable.
Eliminate the absolute value by creating two equations from the expression, representing the positive and negative possibilities for the terms within the bars. Thanks, Mr B. In calculus,we substitute for terms, so we could do and then do What a good idea! You must be logged in to post a comment. Close Menu About. Say something smart about the Distributive Property in the comments. Share this: Email Print. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search.
I have a question about distribution and absolute values. I was solving a problem and was wondering if it would be okay to distribute a number into an absolute value with two terms. I have searched this on Google but people said it was not okay to do it, but someone else said it was okay to do it. I am really confused, could someone clear this up for me? Sign up to join this community. The best answers are voted up and rise to the top.
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