3|3-5r|-3=18 Any help with this one?

6 Answers

Relevance
  • 8 years ago
    Favorite Answer

    |3−5r| = 7

    3−5r = 7 or 3−5r = −7

    r = −4/5 or 2.

  • 8 years ago

    Start by isolating the absolute value

    |3 - 5r| = 7

    Now remove the absolute value sign and solve for both positive and negative 7.

    3 - 5r = 7

    -5r = 4

    r = -4/5

    3 - 5r = -7

    -5r = -10

    r = 2

    To check the answers, substitute both -4/5 and 2 for r in the original equation.

    3|3 - 5(-4/5)| - 3 = 18

    3|3 + 4| - 3 = 18

    3|7| - 3 = 18

    21 - 3 = 18

    18 = 18

    3|3 - 5(2)| - 3 = 18

    3|3 - 10| - 3 = 18

    3|-7| - 3 = 18

    3(7) - 3 = 18

    21 - 3 = 18

    18 = 18

    Both work

    ANSWER

    r = -4/5, 2

  • Niall
    Lv 7
    8 years ago

    Before solving for an absolute you value you will need to isolate it first, start by adding 3 to both sides:

    3|3 - 5r| = 21

    Now divide both sides by 3:

    |3 - 5r| = 7

    Now that you have isolated it you can now start to find the solution, take the absolute positive value:

    3 - 5r = 7

    -5r = 4

    r = - 4/5

    Take the absolute negative value:

    3 - 5r = -7

    -5r = -10

    r = 2

    ---------------

    Overall:

    r = - 4/5, 2

  • Mike G
    Lv 7
    8 years ago

    3|3-5r| = 21

    3-5r = ±7

    -5r = 4

    r = -4/5 or

    -5r = -10

    r = 2

    r = 2 or -4/5

  • How do you think about the answers? You can sign in to vote the answer.
  • 8 years ago

    -4/5 r. AND 2

  • Anonymous
    8 years ago

    It could be either 2 or -0.8, since there's the absolute symbol.

Still have questions? Get your answers by asking now.