9+3|5-x|=24What is the lines for and how do I solve X with them?

9+3|5-x|=24

What is the lines for and how do I solve X with them?

Related Posts

This Post Has 4 Comments

  1. 30 people weigh 160 pounds or more

    [tex]According to the histogram above how many people weigh 160 pounds or more?[/tex]

  2. the lines represent absolute value bars

    [tex]x=0,10[/tex]

    Step-by-step explanation:

    STEP 1: Move all terms not containing |5−x| to the right side of the equation.

    [tex]3|5-x|=15[/tex]

    STEP 2: Divide each term by 3 and simplify.

    [tex]|5-x|=5[/tex]

    STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

    5-x=±5

    STEP 4: Set up the positive portion of the ± solution.

    [tex]5-x=5[/tex]

    STEP 5: Solve the first equation for x.

    [tex]x=0[/tex]

    STEP 6: Set up the negative portion of the ± solution.

    [tex]5-x=-5[/tex]

    STEP 7: Solve the second equation for x.

    [tex]x=10[/tex]

    NOTE: The solution to the equation includes both the positive and negative portions of the solution.

    [tex]x=0,10[/tex]

Leave a Reply

Your email address will not be published. Required fields are marked *