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Math Help - Non-Linear Simultaneous equations

  1. #1
    Member
    Joined
    Jan 2008
    Posts
    130

    Non-Linear Simultaneous equations

    hi all im clueless about some of these problems, i hope there are only a few of these clueless ones to memorise

    y = 1/x
    y= 2x - 1

    and

    y= 2 times square root X minus 3
    y = X -6

    and also

    y = 4 sin x
    y = 2x + 1

    please solve with explanations, thanks!
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  2. #2
    Junior Member
    Joined
    Feb 2008
    Posts
    60
    First one:

    y= 2x - 1
    Try rearranging this equation to get x by itself.

    You should get x = (y + 1) / 2

    Now, from here, plug this value of x into your other equation. This should get rid of any x's in your equation, making it possible to solve.

    y = 1/x

    Turns into

    y = 1/[(y + 1)/2]

    You're dividing by another fraction so multply it by it's reciprocal.

    y = (1 * 2) / [(y + 1) * 1]
    y = 2/(y + 1)
    y(y+1) = 2
    y + y - 2 = 0
    (y - 1)(y + 2)

    The answer is 1 and -2.

    -----

    From here, you should be able to do the other two. Just remember to always get x by itself.
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