Algebra-help please

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I already asked this question once about the absolute value of 3x-2=8 and absolute vale x+1=1....value of x?...and the answer I received was does 0 or -2 satisfy both ....they dont...so is it no solution?

Please help - I do not understand this problem....Thanks

  • Algebra-help please -

    If I recall the question that Steve already answered for you , it was
    |3x-2| = 8 and | x+1| = 0

    What he did was to solve the easier of the two, and then asked you to check if these answers satisfied the first.
    Why did you not do that?

    if |x+1| = 1
    then x+1 = 1 or x+1 = -1
    x = 0 and x = -2

    now test those in the first
    if x = 0
    LS = | 3(0) - 2|
    = |-2| = 2
    but RS = 8 , so x = 0 does NOT work in both

    if x = -2
    LS = |(3(-2) - 2|
    = |-8|
    = 8 = RS ,

    so our solution is x = -2 , since it works in both equations.

  • Algebra-help please -

    Now I understand - I only asked for an explanation...I would have put those into place if I wasn't confused...thanks for the help..didn't mean to bother anyone!

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