Mathematics

Question

Solve |2x + 1| = 10




2 Answer

  • Let's solve your equation step-by-step.

    |2x+1|=10

    Solve Absolute Value.

    |2x+1|=10We know either
    2x+1=10or 2x+1=−10

    2x+1=10(Possibility 1)

    2x+1−1=10−1(Subtract 1 from both sides)

    2x=9

    2x/2=9/2(Divide both sides by 2)

    x=9/2

    2x+1=−10(Possibility 2)

    2x+1−1=−10−1(Subtract 1 from both sides)

    2x=−11

    2x/2=−11/2(Divide both sides by 2)

    x=−11/2

    Answer:

    x=9/2 or x=−11/2
  • I believe you drop the | lines.  Then I think that it turns into 2x + 1 = 10.  Next I believe you subtract 1 from each side to get 2x = 9.  Then you divide both sides of the equation by 2 to get x = 4.5.  To check your work simply plug in 4.5 for x.  2 times 4.5 is 9, 9 + 1 = 10.  I hope this helped.
    P.S. I have learned how to do most of those problems accurately
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