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Math Help - Re arranging an equation.

  1. #1
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    Re arranging an equation.

    Ok so i have this equation which I am having difficulty in figuring out how it was derived.

    this is the original equation

    \frac{M_s}{P} = L_0 +L_yY +L_rr

    this is the equation i cant figure out how to get to.

     r = \frac{1}{L_r}[\frac{M_s}{P}-L_0] - \frac{L_y}{L_r} Y

    If someone has the time to do a step by step explanation of how to rearrange it to get r, it would help me immensely.

    Thanks.
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  2. #2
    Junior Member
    Joined
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    Quote Originally Posted by el123 View Post
    Ok so i have this equation which I am having difficulty in figuring out how it was derived.

    this is the original equation

    \frac{M_s}{P} = L_0 +L_yY +L_rr

    this is the equation i cant figure out how to get to.

     r = \frac{1}{L_r}[\frac{M_s}{P}-L_0] - \frac{L_y}{L_r} Y

    If someone has the time to do a step by step explanation of how to rearrange it to get r, it would help me immensely.

    Thanks.
    (1)  r + \frac{L_yY}{L_r} = \frac{1}{L_r}[\frac{M_s}{P} - L_0] First we added to  \frac{L_yY}{L_r} both sides

    (2)  rL_r + \frac{L_r L_yY}{L_r} =  \frac{M_s}{P} - L_0 Then we multiply both sides by L_r to clear it on the RHS. Note we can cancel these in the second term of the LHS

    (3)  rL_r +  L_yY + L_0 =  \frac{M_s}{P}  Adding  L_0 to both sides

    You can then rearrange terms to make it look like the answer above.
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  3. #3
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    thanks!
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