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anonymous

  • 5 years ago

|3x-2| = |2x - 11| do i set these to zero? how does this work exactly?

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  1. Yuki
    • 5 years ago
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    remember that |x| = k can be solved by x = k and x = -k ?

  2. Yuki
    • 5 years ago
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    this is true when k is positive and negative respectively

  3. Yuki
    • 5 years ago
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    so if x>2/3, 3x-2 = |2x-11|

  4. Yuki
    • 5 years ago
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    if x<= 2/3, 2-3x = |2x-11|

  5. Yuki
    • 5 years ago
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    you just do the same thing with the resulting two equations. you will have a total of four eqn. you will have to solve

  6. Yuki
    • 5 years ago
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    The only thing you have to be very careful is the fact that you are using absolute values in an equation. This makes the problem very likely to have an extraneous solution, so you need to check your answers once you get them.

  7. anonymous
    • 5 years ago
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    thank you very much yuki

  8. Yuki
    • 5 years ago
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    just to let you know, solving this by graphing would make it a lot easier

  9. Yuki
    • 5 years ago
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    so if you are interested, try graphing on a calculator as y = |3x-2| y = |2x-11| you will see two "V-shaped lines" the intersections will give you the answer

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