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Thread: Did I get the right answers?

  1. #1
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    Did I get the right answers?

    4x-2=7x-6

    Answer: x=-1

    2r-6=7r+24

    Answer: r=6?
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by hoiguy1208 View Post
    4x-2=7x-6

    Answer: x=-1

    2r-6=7r+24

    Answer: r=6?
    Hi Hoiguy. Nice to see you back.

    For (1), you are way too off the solution.

    $\displaystyle 4x-2 = 7x-6$

    add 6 on both sides

    $\displaystyle 4x-2+6 = 7x-6+6$

    this gives:

    $\displaystyle 4x + 4 = 7x$

    subtract 4x from both sides:

    $\displaystyle 4x+4-4x = 7x-4x$

    this gives $\displaystyle 4 = 3x$

    therefore $\displaystyle x = \frac{4}{3}$

    For (2), you were almost there.

    $\displaystyle 2r-6=7r+24$

    subtract 24 form both sides:

    $\displaystyle 2r-6-24 = 7r+24-24$

    this gives you:

    $\displaystyle 2r-30 = 7r$

    subtract 2r from both sides:

    $\displaystyle 2r-30-2r = 7r-2r$

    this gives you:

    $\displaystyle 5r = -30$

    So:

    $\displaystyle r = -6$

    Please show a little bit of your work so that one can figure out where exactly you are unclear about the question!
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