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Solving for Variable?

Okay I have the equation:

S = ((((I + (2 x B) + (E/4)) x L)/100) + 5) x N

The goal is to solve for I

I have the following:

I = ((100 x (S/N) - 5) / L) - 2B - (E/4)

I am not sure I am manipulating the equation correctly

With the following value:

S = 49 N = 1.1 L = 50 E = 0 B = 20; I get I = about 9 ... I am expecting I to be about 11

Can someone confirm I have the correct manipulation of the original variable? I'm 20 years removed from Algebra and a second set of eyes would be helpful

Update:

Sorry B = 35

2 Answers

Relevance
  • Yee
    Lv 4
    9 years ago
    Favorite Answer

    This formula is not correctly derived from the original:

    I = ((100 x (S/N) - 5) / L) - 2B - (E/4)

    Original:

    S = ((((I + (2 x B) + (E/4)) x L)/100) + 5) x N

    divide N from both side ==> N cannot be 0

    S/N = (((I + (2 x B) + (E/4)) x L)/100) + 5

    move 5 to left side

    (S/N) - 5 = ((I + (2 x B) + (E/4)) x L)/100

    multiply 100 on both side

    (S x 100 / N) - (5 x 100) = (I + (2 x B) + (E/4)) x L

    (S x 100 / N) - 500 = (I + (2 x B) + (E/4)) x L

    divide L from both side ==> L cannot be 0

    ((S x 100) / (N x L)) - (500 / L) = I + (2 x B) + (E/4)

    move 2 terms and leave only I on right side

    ((S x 100) / (N x L)) - (500 / L) - (2 x B) - (E/4) = I

    so

    I = ((S x 100) / (N x L)) - (500 / L) - (2 x B) - (E/4)

    plug in: S = 49 N = 1.1 L = 50 E = 0 B = 35

    I = ((49 x 100) / (1.1 x 50)) - (500 / 50) - (2 x 35) - (0/4)

    I = (4900 / 55) - 10 - 70 - 0

    I = (4900 / 55) - 80

    I = 9.090909090909090909090909090909

  • Anonymous
    4 years ago

    numbers a million and 2 are already solved for the given variable...? 3) 3a + 2b = c 2b = c - 3a b = (c-3a) / 2 flow words to opposite sides of the equivalent sign with the help of adjusting sign. you prefer to isolate the term that has the variable you're fixing for, that's why I moved 3a to the different part. Then to do away with a coefficient (variety in front of variable), divide the two sides with the help of that variety. the respond ought to truly be written as a fragment with c-3a on the perfect of the fraction and 2 below. 4) mnp + q = ? it is not an equation...there is o equivalent sign and what's on the different part?

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