Results 1 to 2 of 2

Math Help - REARRANGING EQUATIONS

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    1

    REARRANGING EQUATIONS

    rearrange these to make x the subject

    V W
    3X = Y

    VX-W=2

    6X(SQUARED) + VX = Y
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    11
    Awards
    1
    Quote Originally Posted by Dajaro7 View Post
    rearrange these to make x the subject

    V W
    3X = Y

    VX-W=2

    6X(SQUARED) + VX = Y
    1) Have you written: \frac{VW}{3X}=Y?

    If so, multiply both sides of the equation by 3X.

    VW=3XY

    Divide both sides by 3Y.

    \frac{VW}{3Y}=X

    \boxed{X=\frac{VW}{3Y}}

    2)

    VX-W=2

    Add W to both sides.

    VX-W+W=2+W

    Divide both sides by V.

    \boxed{X=\frac{2+W}{V}}

    3)

    6X^2+VX=Y

    Somehow, after looking at the first two, this one seems a bit out of place. I won't explain each step. I'll just perform them.

    6\left(X^2+\frac{V}{6}X+\frac{V^2}{144}\right)=Y+6  \left(\frac{V^2}{144}\right)

    6\left(X+\frac{V}{12}\right)^2=Y+\frac{V^2}{24}

    6\left(X+\frac{V}{12}\right)^2=\frac{24Y+V^2}{24}

    \left(X+\frac{V}{12}\right)^2=\frac{24Y+V^2}{144}

    X+\frac{V}{12}=\frac{\pm \sqrt{24Y+V^2}}{12}

    \boxed{X=\frac{\pm \sqrt{24Y+V^2}-V}{12}}

    I don't know how clean that last one is. Maybe some others will critique it.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Rearranging Equations
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 15th 2011, 10:52 AM
  2. Rearranging Equations?
    Posted in the Algebra Forum
    Replies: 13
    Last Post: April 7th 2011, 02:22 PM
  3. rearranging equations
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 8th 2010, 08:31 PM
  4. Rearranging Equations
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 8th 2008, 01:38 PM
  5. rearranging equations into y=mx+c
    Posted in the Math Topics Forum
    Replies: 9
    Last Post: September 18th 2008, 01:32 PM

Search Tags


/mathhelpforum @mathhelpforum